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Finding the Third Proportional to 482,493 and 709,703.25

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Solution

The third proportional to 482,493 and 709,703.25 is: 1,043,908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,493 : 709,703.25 = 709,703.25 : x
  2. Step 2: Convert to fraction form
    482,493/709,703.25 = 709,703.25/x
  3. Step 3: Cross multiply
    482,493x = 709,703.25 × 709,703.25
  4. Step 4: Simplify right side
    482,493x = 503,678,703,060.56
  5. Step 5: Solve for x
    x = 503,678,703,060.56/482,493
  6. Step 6: Final answer
    x = 1,043,908.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.