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Finding the Third Proportional to 614,343.50 and 961,644.50

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Solution

The third proportional to 614,343.50 and 961,644.50 is: 1,505,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,343.50 : 961,644.50 = 961,644.50 : x
  2. Step 2: Convert to fraction form
    614,343.50/961,644.50 = 961,644.50/x
  3. Step 3: Cross multiply
    614,343.50x = 961,644.50 × 961,644.50
  4. Step 4: Simplify right side
    614,343.50x = 924,760,144,380.25
  5. Step 5: Solve for x
    x = 924,760,144,380.25/614,343.50
  6. Step 6: Final answer
    x = 1,505,281.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.