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Finding the Third Proportional to 625,614.75 and 969,527.25

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Solution

The third proportional to 625,614.75 and 969,527.25 is: 1,502,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,614.75 : 969,527.25 = 969,527.25 : x
  2. Step 2: Convert to fraction form
    625,614.75/969,527.25 = 969,527.25/x
  3. Step 3: Cross multiply
    625,614.75x = 969,527.25 × 969,527.25
  4. Step 4: Simplify right side
    625,614.75x = 939,983,088,492.56
  5. Step 5: Solve for x
    x = 939,983,088,492.56/625,614.75
  6. Step 6: Final answer
    x = 1,502,495.09

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Why These Related Problems?

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