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Finding the Third Proportional to 349,352 and 554,076

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Solution

The third proportional to 349,352 and 554,076 is: 878,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,352 : 554,076 = 554,076 : x
  2. Step 2: Convert to fraction form
    349,352/554,076 = 554,076/x
  3. Step 3: Cross multiply
    349,352x = 554,076 × 554,076
  4. Step 4: Simplify right side
    349,352x = 307,000,213,776
  5. Step 5: Solve for x
    x = 307,000,213,776/349,352
  6. Step 6: Final answer
    x = 878,770.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.