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Finding the Third Proportional to 484,377 and 747,004.50

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Solution

The third proportional to 484,377 and 747,004.50 is: 1,152,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,377 : 747,004.50 = 747,004.50 : x
  2. Step 2: Convert to fraction form
    484,377/747,004.50 = 747,004.50/x
  3. Step 3: Cross multiply
    484,377x = 747,004.50 × 747,004.50
  4. Step 4: Simplify right side
    484,377x = 558,015,723,020.25
  5. Step 5: Solve for x
    x = 558,015,723,020.25/484,377
  6. Step 6: Final answer
    x = 1,152,027.70

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