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Finding the Third Proportional to 316,862 and 461,025

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Solution

The third proportional to 316,862 and 461,025 is: 670,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,862 : 461,025 = 461,025 : x
  2. Step 2: Convert to fraction form
    316,862/461,025 = 461,025/x
  3. Step 3: Cross multiply
    316,862x = 461,025 × 461,025
  4. Step 4: Simplify right side
    316,862x = 212,544,050,625
  5. Step 5: Solve for x
    x = 212,544,050,625/316,862
  6. Step 6: Final answer
    x = 670,777.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.