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Finding the Third Proportional to 260,663.06 and 571,148.72

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Solution

The third proportional to 260,663.06 and 571,148.72 is: 1,251,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,663.06 : 571,148.72 = 571,148.72 : x
  2. Step 2: Convert to fraction form
    260,663.06/571,148.72 = 571,148.72/x
  3. Step 3: Cross multiply
    260,663.06x = 571,148.72 × 571,148.72
  4. Step 4: Simplify right side
    260,663.06x = 326,210,858,929.77
  5. Step 5: Solve for x
    x = 326,210,858,929.77/260,663.06
  6. Step 6: Final answer
    x = 1,251,465.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.