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Finding the Third Proportional to 269,440 and 586,184

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Solution

The third proportional to 269,440 and 586,184 is: 1,275,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,440 : 586,184 = 586,184 : x
  2. Step 2: Convert to fraction form
    269,440/586,184 = 586,184/x
  3. Step 3: Cross multiply
    269,440x = 586,184 × 586,184
  4. Step 4: Simplify right side
    269,440x = 343,611,681,856
  5. Step 5: Solve for x
    x = 343,611,681,856/269,440
  6. Step 6: Final answer
    x = 1,275,280.89

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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.