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Finding the Third Proportional to 295,498 and 625,706

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Solution

The third proportional to 295,498 and 625,706 is: 1,324,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,498 : 625,706 = 625,706 : x
  2. Step 2: Convert to fraction form
    295,498/625,706 = 625,706/x
  3. Step 3: Cross multiply
    295,498x = 625,706 × 625,706
  4. Step 4: Simplify right side
    295,498x = 391,507,998,436
  5. Step 5: Solve for x
    x = 391,507,998,436/295,498
  6. Step 6: Final answer
    x = 1,324,909.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.