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Finding the Third Proportional to 517,390,368.75 and 775,895,602.50

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Solution

The third proportional to 517,390,368.75 and 775,895,602.50 is: 1,163,558,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,390,368.75 : 775,895,602.50 = 775,895,602.50 : x
  2. Step 2: Convert to fraction form
    517,390,368.75/775,895,602.50 = 775,895,602.50/x
  3. Step 3: Cross multiply
    517,390,368.75x = 775,895,602.50 × 775,895,602.50
  4. Step 4: Simplify right side
    517,390,368.75x = 602,013,985,978,838,016
  5. Step 5: Solve for x
    x = 602,013,985,978,838,016/517,390,368.75
  6. Step 6: Final answer
    x = 1,163,558,547.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.