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Finding the Third Proportional to 403,658.44 and 625,023

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Solution

The third proportional to 403,658.44 and 625,023 is: 967,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,658.44 : 625,023 = 625,023 : x
  2. Step 2: Convert to fraction form
    403,658.44/625,023 = 625,023/x
  3. Step 3: Cross multiply
    403,658.44x = 625,023 × 625,023
  4. Step 4: Simplify right side
    403,658.44x = 390,653,750,529
  5. Step 5: Solve for x
    x = 390,653,750,529/403,658.44
  6. Step 6: Final answer
    x = 967,782.94

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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.