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Finding the Third Proportional to 327,528 and 712,720.69

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Solution

The third proportional to 327,528 and 712,720.69 is: 1,550,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,528 : 712,720.69 = 712,720.69 : x
  2. Step 2: Convert to fraction form
    327,528/712,720.69 = 712,720.69/x
  3. Step 3: Cross multiply
    327,528x = 712,720.69 × 712,720.69
  4. Step 4: Simplify right side
    327,528x = 507,970,778,390.47
  5. Step 5: Solve for x
    x = 507,970,778,390.47/327,528
  6. Step 6: Final answer
    x = 1,550,923.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.