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Finding the Third Proportional to 610,846.88 and 803,275.31

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Solution

The third proportional to 610,846.88 and 803,275.31 is: 1,056,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,846.88 : 803,275.31 = 803,275.31 : x
  2. Step 2: Convert to fraction form
    610,846.88/803,275.31 = 803,275.31/x
  3. Step 3: Cross multiply
    610,846.88x = 803,275.31 × 803,275.31
  4. Step 4: Simplify right side
    610,846.88x = 645,251,227,671.97
  5. Step 5: Solve for x
    x = 645,251,227,671.97/610,846.88
  6. Step 6: Final answer
    x = 1,056,322.38

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.