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Finding the Third Proportional to 337,428 and 737,136

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Solution

The third proportional to 337,428 and 737,136 is: 1,610,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,428 : 737,136 = 737,136 : x
  2. Step 2: Convert to fraction form
    337,428/737,136 = 737,136/x
  3. Step 3: Cross multiply
    337,428x = 737,136 × 737,136
  4. Step 4: Simplify right side
    337,428x = 543,369,482,496
  5. Step 5: Solve for x
    x = 543,369,482,496/337,428
  6. Step 6: Final answer
    x = 1,610,327.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.