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Finding the Third Proportional to 625,023 and 884,981

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Solution

The third proportional to 625,023 and 884,981 is: 1,253,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,023 : 884,981 = 884,981 : x
  2. Step 2: Convert to fraction form
    625,023/884,981 = 884,981/x
  3. Step 3: Cross multiply
    625,023x = 884,981 × 884,981
  4. Step 4: Simplify right side
    625,023x = 783,191,370,361
  5. Step 5: Solve for x
    x = 783,191,370,361/625,023
  6. Step 6: Final answer
    x = 1,253,060.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.