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Finding the Third Proportional to 460,759 and 721,235.50

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Solution

The third proportional to 460,759 and 721,235.50 is: 1,128,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,759 : 721,235.50 = 721,235.50 : x
  2. Step 2: Convert to fraction form
    460,759/721,235.50 = 721,235.50/x
  3. Step 3: Cross multiply
    460,759x = 721,235.50 × 721,235.50
  4. Step 4: Simplify right side
    460,759x = 520,180,646,460.25
  5. Step 5: Solve for x
    x = 520,180,646,460.25/460,759
  6. Step 6: Final answer
    x = 1,128,964.70

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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.