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Finding the Third Proportional to 460,756.48 and 721,231.59

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Solution

The third proportional to 460,756.48 and 721,231.59 is: 1,128,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,756.48 : 721,231.59 = 721,231.59 : x
  2. Step 2: Convert to fraction form
    460,756.48/721,231.59 = 721,231.59/x
  3. Step 3: Cross multiply
    460,756.48x = 721,231.59 × 721,231.59
  4. Step 4: Simplify right side
    460,756.48x = 520,175,011,823.17
  5. Step 5: Solve for x
    x = 520,175,011,823.17/460,756.48
  6. Step 6: Final answer
    x = 1,128,958.65

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.