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Finding the Third Proportional to 242,460 and 499,851

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Solution

The third proportional to 242,460 and 499,851 is: 1,030,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,460 : 499,851 = 499,851 : x
  2. Step 2: Convert to fraction form
    242,460/499,851 = 499,851/x
  3. Step 3: Cross multiply
    242,460x = 499,851 × 499,851
  4. Step 4: Simplify right side
    242,460x = 249,851,022,201
  5. Step 5: Solve for x
    x = 249,851,022,201/242,460
  6. Step 6: Final answer
    x = 1,030,483.47

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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.