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Finding the Third Proportional to 242,844 and 497,712

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Solution

The third proportional to 242,844 and 497,712 is: 1,020,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,844 : 497,712 = 497,712 : x
  2. Step 2: Convert to fraction form
    242,844/497,712 = 497,712/x
  3. Step 3: Cross multiply
    242,844x = 497,712 × 497,712
  4. Step 4: Simplify right side
    242,844x = 247,717,234,944
  5. Step 5: Solve for x
    x = 247,717,234,944/242,844
  6. Step 6: Final answer
    x = 1,020,067.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.