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Finding the Third Proportional to 403,830 and 625,215.38

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Solution

The third proportional to 403,830 and 625,215.38 is: 967,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,830 : 625,215.38 = 625,215.38 : x
  2. Step 2: Convert to fraction form
    403,830/625,215.38 = 625,215.38/x
  3. Step 3: Cross multiply
    403,830x = 625,215.38 × 625,215.38
  4. Step 4: Simplify right side
    403,830x = 390,894,265,136.39
  5. Step 5: Solve for x
    x = 390,894,265,136.39/403,830
  6. Step 6: Final answer
    x = 967,967.38

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