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Finding the Third Proportional to 531,718.88 and 817,287.75

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Solution

The third proportional to 531,718.88 and 817,287.75 is: 1,256,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,718.88 : 817,287.75 = 817,287.75 : x
  2. Step 2: Convert to fraction form
    531,718.88/817,287.75 = 817,287.75/x
  3. Step 3: Cross multiply
    531,718.88x = 817,287.75 × 817,287.75
  4. Step 4: Simplify right side
    531,718.88x = 667,959,266,300.06
  5. Step 5: Solve for x
    x = 667,959,266,300.06/531,718.88
  6. Step 6: Final answer
    x = 1,256,226.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.