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Finding the Third Proportional to 625,754.50 and 969,376

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Solution

The third proportional to 625,754.50 and 969,376 is: 1,501,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,754.50 : 969,376 = 969,376 : x
  2. Step 2: Convert to fraction form
    625,754.50/969,376 = 969,376/x
  3. Step 3: Cross multiply
    625,754.50x = 969,376 × 969,376
  4. Step 4: Simplify right side
    625,754.50x = 939,689,829,376
  5. Step 5: Solve for x
    x = 939,689,829,376/625,754.50
  6. Step 6: Final answer
    x = 1,501,690.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.