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Finding the Third Proportional to 269,332 and 591,128

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Solution

The third proportional to 269,332 and 591,128 is: 1,297,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,332 : 591,128 = 591,128 : x
  2. Step 2: Convert to fraction form
    269,332/591,128 = 591,128/x
  3. Step 3: Cross multiply
    269,332x = 591,128 × 591,128
  4. Step 4: Simplify right side
    269,332x = 349,432,312,384
  5. Step 5: Solve for x
    x = 349,432,312,384/269,332
  6. Step 6: Final answer
    x = 1,297,403.62

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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.