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Finding the Third Proportional to 481,221 and 724,585.50

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Solution

The third proportional to 481,221 and 724,585.50 is: 1,091,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,221 : 724,585.50 = 724,585.50 : x
  2. Step 2: Convert to fraction form
    481,221/724,585.50 = 724,585.50/x
  3. Step 3: Cross multiply
    481,221x = 724,585.50 × 724,585.50
  4. Step 4: Simplify right side
    481,221x = 525,024,146,810.25
  5. Step 5: Solve for x
    x = 525,024,146,810.25/481,221
  6. Step 6: Final answer
    x = 1,091,025.01

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