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Finding the Third Proportional to 460,762 and 721,240.50

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Solution

The third proportional to 460,762 and 721,240.50 is: 1,128,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,762 : 721,240.50 = 721,240.50 : x
  2. Step 2: Convert to fraction form
    460,762/721,240.50 = 721,240.50/x
  3. Step 3: Cross multiply
    460,762x = 721,240.50 × 721,240.50
  4. Step 4: Simplify right side
    460,762x = 520,187,858,840.25
  5. Step 5: Solve for x
    x = 520,187,858,840.25/460,762
  6. Step 6: Final answer
    x = 1,128,973.00

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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.