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Finding the Third Proportional to 270,076 and 588,748

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Solution

The third proportional to 270,076 and 588,748 is: 1,283,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,076 : 588,748 = 588,748 : x
  2. Step 2: Convert to fraction form
    270,076/588,748 = 588,748/x
  3. Step 3: Cross multiply
    270,076x = 588,748 × 588,748
  4. Step 4: Simplify right side
    270,076x = 346,624,207,504
  5. Step 5: Solve for x
    x = 346,624,207,504/270,076
  6. Step 6: Final answer
    x = 1,283,432.10

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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.