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Finding the Third Proportional to 242,461 and 499,853

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Solution

The third proportional to 242,461 and 499,853 is: 1,030,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,461 : 499,853 = 499,853 : x
  2. Step 2: Convert to fraction form
    242,461/499,853 = 499,853/x
  3. Step 3: Cross multiply
    242,461x = 499,853 × 499,853
  4. Step 4: Simplify right side
    242,461x = 249,853,021,609
  5. Step 5: Solve for x
    x = 249,853,021,609/242,461
  6. Step 6: Final answer
    x = 1,030,487.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.