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Finding the Third Proportional to 307,560 and 461,337.75

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Solution

The third proportional to 307,560 and 461,337.75 is: 692,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,560 : 461,337.75 = 461,337.75 : x
  2. Step 2: Convert to fraction form
    307,560/461,337.75 = 461,337.75/x
  3. Step 3: Cross multiply
    307,560x = 461,337.75 × 461,337.75
  4. Step 4: Simplify right side
    307,560x = 212,832,519,575.06
  5. Step 5: Solve for x
    x = 212,832,519,575.06/307,560
  6. Step 6: Final answer
    x = 692,003.25

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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.