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Finding the Third Proportional to 317,719.13 and 698,407.31

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Solution

The third proportional to 317,719.13 and 698,407.31 is: 1,535,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,719.13 : 698,407.31 = 698,407.31 : x
  2. Step 2: Convert to fraction form
    317,719.13/698,407.31 = 698,407.31/x
  3. Step 3: Cross multiply
    317,719.13x = 698,407.31 × 698,407.31
  4. Step 4: Simplify right side
    317,719.13x = 487,772,774,153.47
  5. Step 5: Solve for x
    x = 487,772,774,153.47/317,719.13
  6. Step 6: Final answer
    x = 1,535,232.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.