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Finding the Third Proportional to 323,275.13 and 702,507.75

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Solution

The third proportional to 323,275.13 and 702,507.75 is: 1,526,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,275.13 : 702,507.75 = 702,507.75 : x
  2. Step 2: Convert to fraction form
    323,275.13/702,507.75 = 702,507.75/x
  3. Step 3: Cross multiply
    323,275.13x = 702,507.75 × 702,507.75
  4. Step 4: Simplify right side
    323,275.13x = 493,517,138,810.06
  5. Step 5: Solve for x
    x = 493,517,138,810.06/323,275.13
  6. Step 6: Final answer
    x = 1,526,616.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.