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Finding the Third Proportional to 426,266 and 625,575

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Solution

The third proportional to 426,266 and 625,575 is: 918,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,266 : 625,575 = 625,575 : x
  2. Step 2: Convert to fraction form
    426,266/625,575 = 625,575/x
  3. Step 3: Cross multiply
    426,266x = 625,575 × 625,575
  4. Step 4: Simplify right side
    426,266x = 391,344,080,625
  5. Step 5: Solve for x
    x = 391,344,080,625/426,266
  6. Step 6: Final answer
    x = 918,074.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.