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Finding the Third Proportional to 452,107.50 and 615,693

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Solution

The third proportional to 452,107.50 and 615,693 is: 838,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,107.50 : 615,693 = 615,693 : x
  2. Step 2: Convert to fraction form
    452,107.50/615,693 = 615,693/x
  3. Step 3: Cross multiply
    452,107.50x = 615,693 × 615,693
  4. Step 4: Simplify right side
    452,107.50x = 379,077,870,249
  5. Step 5: Solve for x
    x = 379,077,870,249/452,107.50
  6. Step 6: Final answer
    x = 838,468.44

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.