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Finding the Third Proportional to 614,236.50 and 947,598.75

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Solution

The third proportional to 614,236.50 and 947,598.75 is: 1,461,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,236.50 : 947,598.75 = 947,598.75 : x
  2. Step 2: Convert to fraction form
    614,236.50/947,598.75 = 947,598.75/x
  3. Step 3: Cross multiply
    614,236.50x = 947,598.75 × 947,598.75
  4. Step 4: Simplify right side
    614,236.50x = 897,943,391,001.56
  5. Step 5: Solve for x
    x = 897,943,391,001.56/614,236.50
  6. Step 6: Final answer
    x = 1,461,885.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.