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Finding the Third Proportional to 262,281.38 and 571,988.25

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Solution

The third proportional to 262,281.38 and 571,988.25 is: 1,247,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,281.38 : 571,988.25 = 571,988.25 : x
  2. Step 2: Convert to fraction form
    262,281.38/571,988.25 = 571,988.25/x
  3. Step 3: Cross multiply
    262,281.38x = 571,988.25 × 571,988.25
  4. Step 4: Simplify right side
    262,281.38x = 327,170,558,138.06
  5. Step 5: Solve for x
    x = 327,170,558,138.06/262,281.38
  6. Step 6: Final answer
    x = 1,247,402.94

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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.