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Finding the Third Proportional to 437,764.50 and 958,564.13

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Solution

The third proportional to 437,764.50 and 958,564.13 is: 2,098,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,764.50 : 958,564.13 = 958,564.13 : x
  2. Step 2: Convert to fraction form
    437,764.50/958,564.13 = 958,564.13/x
  3. Step 3: Cross multiply
    437,764.50x = 958,564.13 × 958,564.13
  4. Step 4: Simplify right side
    437,764.50x = 918,845,181,737.02
  5. Step 5: Solve for x
    x = 918,845,181,737.02/437,764.50
  6. Step 6: Final answer
    x = 2,098,948.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.