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Finding the Third Proportional to 614,317.50 and 916,737.75

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Solution

The third proportional to 614,317.50 and 916,737.75 is: 1,368,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,317.50 : 916,737.75 = 916,737.75 : x
  2. Step 2: Convert to fraction form
    614,317.50/916,737.75 = 916,737.75/x
  3. Step 3: Cross multiply
    614,317.50x = 916,737.75 × 916,737.75
  4. Step 4: Simplify right side
    614,317.50x = 840,408,102,275.06
  5. Step 5: Solve for x
    x = 840,408,102,275.06/614,317.50
  6. Step 6: Final answer
    x = 1,368,035.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.