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Finding the Third Proportional to 314,851.50 and 679,455

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Solution

The third proportional to 314,851.50 and 679,455 is: 1,466,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,851.50 : 679,455 = 679,455 : x
  2. Step 2: Convert to fraction form
    314,851.50/679,455 = 679,455/x
  3. Step 3: Cross multiply
    314,851.50x = 679,455 × 679,455
  4. Step 4: Simplify right side
    314,851.50x = 461,659,097,025
  5. Step 5: Solve for x
    x = 461,659,097,025/314,851.50
  6. Step 6: Final answer
    x = 1,466,275.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.