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Finding the Third Proportional to 291,634 and 625,550

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Solution

The third proportional to 291,634 and 625,550 is: 1,341,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,634 : 625,550 = 625,550 : x
  2. Step 2: Convert to fraction form
    291,634/625,550 = 625,550/x
  3. Step 3: Cross multiply
    291,634x = 625,550 × 625,550
  4. Step 4: Simplify right side
    291,634x = 391,312,802,500
  5. Step 5: Solve for x
    x = 391,312,802,500/291,634
  6. Step 6: Final answer
    x = 1,341,794.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.