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Finding the Third Proportional to 403,660 and 625,026

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Solution

The third proportional to 403,660 and 625,026 is: 967,788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,660 : 625,026 = 625,026 : x
  2. Step 2: Convert to fraction form
    403,660/625,026 = 625,026/x
  3. Step 3: Cross multiply
    403,660x = 625,026 × 625,026
  4. Step 4: Simplify right side
    403,660x = 390,657,500,676
  5. Step 5: Solve for x
    x = 390,657,500,676/403,660
  6. Step 6: Final answer
    x = 967,788.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.