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Finding the Third Proportional to 299,585 and 421,386

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Solution

The third proportional to 299,585 and 421,386 is: 592,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,585 : 421,386 = 421,386 : x
  2. Step 2: Convert to fraction form
    299,585/421,386 = 421,386/x
  3. Step 3: Cross multiply
    299,585x = 421,386 × 421,386
  4. Step 4: Simplify right side
    299,585x = 177,566,160,996
  5. Step 5: Solve for x
    x = 177,566,160,996/299,585
  6. Step 6: Final answer
    x = 592,707.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.