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Finding the Third Proportional to 484,407 and 756,043.50

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Solution

The third proportional to 484,407 and 756,043.50 is: 1,180,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,407 : 756,043.50 = 756,043.50 : x
  2. Step 2: Convert to fraction form
    484,407/756,043.50 = 756,043.50/x
  3. Step 3: Cross multiply
    484,407x = 756,043.50 × 756,043.50
  4. Step 4: Simplify right side
    484,407x = 571,601,773,892.25
  5. Step 5: Solve for x
    x = 571,601,773,892.25/484,407
  6. Step 6: Final answer
    x = 1,180,003.13

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.