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Finding the Third Proportional to 625,896 and 938,416.50

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Solution

The third proportional to 625,896 and 938,416.50 is: 1,406,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,896 : 938,416.50 = 938,416.50 : x
  2. Step 2: Convert to fraction form
    625,896/938,416.50 = 938,416.50/x
  3. Step 3: Cross multiply
    625,896x = 938,416.50 × 938,416.50
  4. Step 4: Simplify right side
    625,896x = 880,625,527,472.25
  5. Step 5: Solve for x
    x = 880,625,527,472.25/625,896
  6. Step 6: Final answer
    x = 1,406,983.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.