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Finding the Third Proportional to 260,291.81 and 527,828.06

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Solution

The third proportional to 260,291.81 and 527,828.06 is: 1,070,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,291.81 : 527,828.06 = 527,828.06 : x
  2. Step 2: Convert to fraction form
    260,291.81/527,828.06 = 527,828.06/x
  3. Step 3: Cross multiply
    260,291.81x = 527,828.06 × 527,828.06
  4. Step 4: Simplify right side
    260,291.81x = 278,602,463,562.50
  5. Step 5: Solve for x
    x = 278,602,463,562.50/260,291.81
  6. Step 6: Final answer
    x = 1,070,346.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.