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Finding the Third Proportional to 322,035.75 and 730,012.50

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Solution

The third proportional to 322,035.75 and 730,012.50 is: 1,654,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,035.75 : 730,012.50 = 730,012.50 : x
  2. Step 2: Convert to fraction form
    322,035.75/730,012.50 = 730,012.50/x
  3. Step 3: Cross multiply
    322,035.75x = 730,012.50 × 730,012.50
  4. Step 4: Simplify right side
    322,035.75x = 532,918,250,156.25
  5. Step 5: Solve for x
    x = 532,918,250,156.25/322,035.75
  6. Step 6: Final answer
    x = 1,654,841.89

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.