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Finding the Third Proportional to 212,311.13 and 454,987.13

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Solution

The third proportional to 212,311.13 and 454,987.13 is: 975,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,311.13 : 454,987.13 = 454,987.13 : x
  2. Step 2: Convert to fraction form
    212,311.13/454,987.13 = 454,987.13/x
  3. Step 3: Cross multiply
    212,311.13x = 454,987.13 × 454,987.13
  4. Step 4: Simplify right side
    212,311.13x = 207,013,283,915.77
  5. Step 5: Solve for x
    x = 207,013,283,915.77/212,311.13
  6. Step 6: Final answer
    x = 975,046.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.