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Finding the Third Proportional to 340,390.13 and 462,510

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Solution

The third proportional to 340,390.13 and 462,510 is: 628,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,390.13 : 462,510 = 462,510 : x
  2. Step 2: Convert to fraction form
    340,390.13/462,510 = 462,510/x
  3. Step 3: Cross multiply
    340,390.13x = 462,510 × 462,510
  4. Step 4: Simplify right side
    340,390.13x = 213,915,500,100
  5. Step 5: Solve for x
    x = 213,915,500,100/340,390.13
  6. Step 6: Final answer
    x = 628,442.14

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.