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Finding the Third Proportional to 242,583 and 497,166

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Solution

The third proportional to 242,583 and 497,166 is: 1,018,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,583 : 497,166 = 497,166 : x
  2. Step 2: Convert to fraction form
    242,583/497,166 = 497,166/x
  3. Step 3: Cross multiply
    242,583x = 497,166 × 497,166
  4. Step 4: Simplify right side
    242,583x = 247,174,031,556
  5. Step 5: Solve for x
    x = 247,174,031,556/242,583
  6. Step 6: Final answer
    x = 1,018,925.61

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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.