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Finding the Third Proportional to 245,034.84 and 527,615.72

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Solution

The third proportional to 245,034.84 and 527,615.72 is: 1,136,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,034.84 : 527,615.72 = 527,615.72 : x
  2. Step 2: Convert to fraction form
    245,034.84/527,615.72 = 527,615.72/x
  3. Step 3: Cross multiply
    245,034.84x = 527,615.72 × 527,615.72
  4. Step 4: Simplify right side
    245,034.84x = 278,378,346,672.08
  5. Step 5: Solve for x
    x = 278,378,346,672.08/245,034.84
  6. Step 6: Final answer
    x = 1,136,076.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.