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Finding the Third Proportional to 473,760 and 703,424

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Solution

The third proportional to 473,760 and 703,424 is: 1,044,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,760 : 703,424 = 703,424 : x
  2. Step 2: Convert to fraction form
    473,760/703,424 = 703,424/x
  3. Step 3: Cross multiply
    473,760x = 703,424 × 703,424
  4. Step 4: Simplify right side
    473,760x = 494,805,323,776
  5. Step 5: Solve for x
    x = 494,805,323,776/473,760
  6. Step 6: Final answer
    x = 1,044,421.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.