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Finding the Third Proportional to 225,681 and 491,841.75

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Solution

The third proportional to 225,681 and 491,841.75 is: 1,071,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,681 : 491,841.75 = 491,841.75 : x
  2. Step 2: Convert to fraction form
    225,681/491,841.75 = 491,841.75/x
  3. Step 3: Cross multiply
    225,681x = 491,841.75 × 491,841.75
  4. Step 4: Simplify right side
    225,681x = 241,908,307,043.06
  5. Step 5: Solve for x
    x = 241,908,307,043.06/225,681
  6. Step 6: Final answer
    x = 1,071,903.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.