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Finding the Third Proportional to 712,720.50 and 1,437,105

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Solution

The third proportional to 712,720.50 and 1,437,105 is: 2,897,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,720.50 : 1,437,105 = 1,437,105 : x
  2. Step 2: Convert to fraction form
    712,720.50/1,437,105 = 1,437,105/x
  3. Step 3: Cross multiply
    712,720.50x = 1,437,105 × 1,437,105
  4. Step 4: Simplify right side
    712,720.50x = 2,065,270,781,025
  5. Step 5: Solve for x
    x = 2,065,270,781,025/712,720.50
  6. Step 6: Final answer
    x = 2,897,728.89

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.