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Finding the Third Proportional to 245,347 and 499,714

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Solution

The third proportional to 245,347 and 499,714 is: 1,017,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,347 : 499,714 = 499,714 : x
  2. Step 2: Convert to fraction form
    245,347/499,714 = 499,714/x
  3. Step 3: Cross multiply
    245,347x = 499,714 × 499,714
  4. Step 4: Simplify right side
    245,347x = 249,714,081,796
  5. Step 5: Solve for x
    x = 249,714,081,796/245,347
  6. Step 6: Final answer
    x = 1,017,799.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.