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Finding the Third Proportional to 558,414 and 749,047.50

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Solution

The third proportional to 558,414 and 749,047.50 is: 1,004,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,414 : 749,047.50 = 749,047.50 : x
  2. Step 2: Convert to fraction form
    558,414/749,047.50 = 749,047.50/x
  3. Step 3: Cross multiply
    558,414x = 749,047.50 × 749,047.50
  4. Step 4: Simplify right side
    558,414x = 561,072,157,256.25
  5. Step 5: Solve for x
    x = 561,072,157,256.25/558,414
  6. Step 6: Final answer
    x = 1,004,760.19

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.