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Finding the Third Proportional to 385,866 and 597,411

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Solution

The third proportional to 385,866 and 597,411 is: 924,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,866 : 597,411 = 597,411 : x
  2. Step 2: Convert to fraction form
    385,866/597,411 = 597,411/x
  3. Step 3: Cross multiply
    385,866x = 597,411 × 597,411
  4. Step 4: Simplify right side
    385,866x = 356,899,902,921
  5. Step 5: Solve for x
    x = 356,899,902,921/385,866
  6. Step 6: Final answer
    x = 924,932.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.