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Finding the Third Proportional to 224,614.69 and 490,681.13

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Solution

The third proportional to 224,614.69 and 490,681.13 is: 1,071,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,614.69 : 490,681.13 = 490,681.13 : x
  2. Step 2: Convert to fraction form
    224,614.69/490,681.13 = 490,681.13/x
  3. Step 3: Cross multiply
    224,614.69x = 490,681.13 × 490,681.13
  4. Step 4: Simplify right side
    224,614.69x = 240,767,966,431.27
  5. Step 5: Solve for x
    x = 240,767,966,431.27/224,614.69
  6. Step 6: Final answer
    x = 1,071,915.51

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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.