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Finding the Third Proportional to 456,615.50 and 727,209.75

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Solution

The third proportional to 456,615.50 and 727,209.75 is: 1,158,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,615.50 : 727,209.75 = 727,209.75 : x
  2. Step 2: Convert to fraction form
    456,615.50/727,209.75 = 727,209.75/x
  3. Step 3: Cross multiply
    456,615.50x = 727,209.75 × 727,209.75
  4. Step 4: Simplify right side
    456,615.50x = 528,834,020,495.06
  5. Step 5: Solve for x
    x = 528,834,020,495.06/456,615.50
  6. Step 6: Final answer
    x = 1,158,160.47

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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.