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Finding the Third Proportional to 369,136 and 527,864

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Solution

The third proportional to 369,136 and 527,864 is: 754,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,136 : 527,864 = 527,864 : x
  2. Step 2: Convert to fraction form
    369,136/527,864 = 527,864/x
  3. Step 3: Cross multiply
    369,136x = 527,864 × 527,864
  4. Step 4: Simplify right side
    369,136x = 278,640,402,496
  5. Step 5: Solve for x
    x = 278,640,402,496/369,136
  6. Step 6: Final answer
    x = 754,844.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.