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Finding the Third Proportional to 424,386 and 613,737

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Solution

The third proportional to 424,386 and 613,737 is: 887,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,386 : 613,737 = 613,737 : x
  2. Step 2: Convert to fraction form
    424,386/613,737 = 613,737/x
  3. Step 3: Cross multiply
    424,386x = 613,737 × 613,737
  4. Step 4: Simplify right side
    424,386x = 376,673,105,169
  5. Step 5: Solve for x
    x = 376,673,105,169/424,386
  6. Step 6: Final answer
    x = 887,571.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.