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Finding the Third Proportional to 523,863 and 775,966.50

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Solution

The third proportional to 523,863 and 775,966.50 is: 1,149,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,863 : 775,966.50 = 775,966.50 : x
  2. Step 2: Convert to fraction form
    523,863/775,966.50 = 775,966.50/x
  3. Step 3: Cross multiply
    523,863x = 775,966.50 × 775,966.50
  4. Step 4: Simplify right side
    523,863x = 602,124,009,122.25
  5. Step 5: Solve for x
    x = 602,124,009,122.25/523,863
  6. Step 6: Final answer
    x = 1,149,392.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.