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Finding the Third Proportional to 270,931 and 595,492

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Solution

The third proportional to 270,931 and 595,492 is: 1,308,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,931 : 595,492 = 595,492 : x
  2. Step 2: Convert to fraction form
    270,931/595,492 = 595,492/x
  3. Step 3: Cross multiply
    270,931x = 595,492 × 595,492
  4. Step 4: Simplify right side
    270,931x = 354,610,722,064
  5. Step 5: Solve for x
    x = 354,610,722,064/270,931
  6. Step 6: Final answer
    x = 1,308,859.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.