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Finding the Third Proportional to 517,995 and 803,893

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Solution

The third proportional to 517,995 and 803,893 is: 1,247,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,995 : 803,893 = 803,893 : x
  2. Step 2: Convert to fraction form
    517,995/803,893 = 803,893/x
  3. Step 3: Cross multiply
    517,995x = 803,893 × 803,893
  4. Step 4: Simplify right side
    517,995x = 646,243,955,449
  5. Step 5: Solve for x
    x = 646,243,955,449/517,995
  6. Step 6: Final answer
    x = 1,247,587.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.