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Finding the Third Proportional to 731,569.50 and 1,497,037.50

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Solution

The third proportional to 731,569.50 and 1,497,037.50 is: 3,063,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,569.50 : 1,497,037.50 = 1,497,037.50 : x
  2. Step 2: Convert to fraction form
    731,569.50/1,497,037.50 = 1,497,037.50/x
  3. Step 3: Cross multiply
    731,569.50x = 1,497,037.50 × 1,497,037.50
  4. Step 4: Simplify right side
    731,569.50x = 2,241,121,276,406.25
  5. Step 5: Solve for x
    x = 2,241,121,276,406.25/731,569.50
  6. Step 6: Final answer
    x = 3,063,442.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.