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Finding the Third Proportional to 322,717.50 and 709,126.50

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Solution

The third proportional to 322,717.50 and 709,126.50 is: 1,558,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,717.50 : 709,126.50 = 709,126.50 : x
  2. Step 2: Convert to fraction form
    322,717.50/709,126.50 = 709,126.50/x
  3. Step 3: Cross multiply
    322,717.50x = 709,126.50 × 709,126.50
  4. Step 4: Simplify right side
    322,717.50x = 502,860,393,002.25
  5. Step 5: Solve for x
    x = 502,860,393,002.25/322,717.50
  6. Step 6: Final answer
    x = 1,558,206.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.