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Finding the Third Proportional to 307,314 and 461,862

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Solution

The third proportional to 307,314 and 461,862 is: 694,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,314 : 461,862 = 461,862 : x
  2. Step 2: Convert to fraction form
    307,314/461,862 = 461,862/x
  3. Step 3: Cross multiply
    307,314x = 461,862 × 461,862
  4. Step 4: Simplify right side
    307,314x = 213,316,507,044
  5. Step 5: Solve for x
    x = 213,316,507,044/307,314
  6. Step 6: Final answer
    x = 694,132.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.