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Finding the Third Proportional to 295,498 and 712,392

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Solution

The third proportional to 295,498 and 712,392 is: 1,717,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,498 : 712,392 = 712,392 : x
  2. Step 2: Convert to fraction form
    295,498/712,392 = 712,392/x
  3. Step 3: Cross multiply
    295,498x = 712,392 × 712,392
  4. Step 4: Simplify right side
    295,498x = 507,502,361,664
  5. Step 5: Solve for x
    x = 507,502,361,664/295,498
  6. Step 6: Final answer
    x = 1,717,447.70

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.