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Finding the Third Proportional to 424,000 and 573,792

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Solution

The third proportional to 424,000 and 573,792 is: 776,502.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,000 : 573,792 = 573,792 : x
  2. Step 2: Convert to fraction form
    424,000/573,792 = 573,792/x
  3. Step 3: Cross multiply
    424,000x = 573,792 × 573,792
  4. Step 4: Simplify right side
    424,000x = 329,237,259,264
  5. Step 5: Solve for x
    x = 329,237,259,264/424,000
  6. Step 6: Final answer
    x = 776,502.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.