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Finding the Third Proportional to 456,607.88 and 727,193.81

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Solution

The third proportional to 456,607.88 and 727,193.81 is: 1,158,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,607.88 : 727,193.81 = 727,193.81 : x
  2. Step 2: Convert to fraction form
    456,607.88/727,193.81 = 727,193.81/x
  3. Step 3: Cross multiply
    456,607.88x = 727,193.81 × 727,193.81
  4. Step 4: Simplify right side
    456,607.88x = 528,810,840,938.29
  5. Step 5: Solve for x
    x = 528,810,840,938.29/456,607.88
  6. Step 6: Final answer
    x = 1,158,129.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.