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Finding the Third Proportional to 245,346.75 and 499,714.88

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Solution

The third proportional to 245,346.75 and 499,714.88 is: 1,017,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,346.75 : 499,714.88 = 499,714.88 : x
  2. Step 2: Convert to fraction form
    245,346.75/499,714.88 = 499,714.88/x
  3. Step 3: Cross multiply
    245,346.75x = 499,714.88 × 499,714.88
  4. Step 4: Simplify right side
    245,346.75x = 249,714,956,296.27
  5. Step 5: Solve for x
    x = 249,714,956,296.27/245,346.75
  6. Step 6: Final answer
    x = 1,017,804.22

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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.