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Finding the Third Proportional to 269,952 and 590,748

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Solution

The third proportional to 269,952 and 590,748 is: 1,292,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,952 : 590,748 = 590,748 : x
  2. Step 2: Convert to fraction form
    269,952/590,748 = 590,748/x
  3. Step 3: Cross multiply
    269,952x = 590,748 × 590,748
  4. Step 4: Simplify right side
    269,952x = 348,983,199,504
  5. Step 5: Solve for x
    x = 348,983,199,504/269,952
  6. Step 6: Final answer
    x = 1,292,760.19

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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.