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Finding the Third Proportional to 286,981 and 625,633

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Solution

The third proportional to 286,981 and 625,633 is: 1,363,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,981 : 625,633 = 625,633 : x
  2. Step 2: Convert to fraction form
    286,981/625,633 = 625,633/x
  3. Step 3: Cross multiply
    286,981x = 625,633 × 625,633
  4. Step 4: Simplify right side
    286,981x = 391,416,650,689
  5. Step 5: Solve for x
    x = 391,416,650,689/286,981
  6. Step 6: Final answer
    x = 1,363,911.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.