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Finding the Third Proportional to 451,877.75 and 652,938.75

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Solution

The third proportional to 451,877.75 and 652,938.75 is: 943,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,877.75 : 652,938.75 = 652,938.75 : x
  2. Step 2: Convert to fraction form
    451,877.75/652,938.75 = 652,938.75/x
  3. Step 3: Cross multiply
    451,877.75x = 652,938.75 × 652,938.75
  4. Step 4: Simplify right side
    451,877.75x = 426,329,011,251.56
  5. Step 5: Solve for x
    x = 426,329,011,251.56/451,877.75
  6. Step 6: Final answer
    x = 943,460.95

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.