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Finding the Third Proportional to 614,254.50 and 929,974.50

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Solution

The third proportional to 614,254.50 and 929,974.50 is: 1,407,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,254.50 : 929,974.50 = 929,974.50 : x
  2. Step 2: Convert to fraction form
    614,254.50/929,974.50 = 929,974.50/x
  3. Step 3: Cross multiply
    614,254.50x = 929,974.50 × 929,974.50
  4. Step 4: Simplify right side
    614,254.50x = 864,852,570,650.25
  5. Step 5: Solve for x
    x = 864,852,570,650.25/614,254.50
  6. Step 6: Final answer
    x = 1,407,971.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.