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Finding the Third Proportional to 562,246.31 and 801,312.75

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Solution

The third proportional to 562,246.31 and 801,312.75 is: 1,142,029.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,246.31 : 801,312.75 = 801,312.75 : x
  2. Step 2: Convert to fraction form
    562,246.31/801,312.75 = 801,312.75/x
  3. Step 3: Cross multiply
    562,246.31x = 801,312.75 × 801,312.75
  4. Step 4: Simplify right side
    562,246.31x = 642,102,123,312.56
  5. Step 5: Solve for x
    x = 642,102,123,312.56/562,246.31
  6. Step 6: Final answer
    x = 1,142,029.94

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.