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Finding the Third Proportional to 295,722 and 418,440

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Solution

The third proportional to 295,722 and 418,440 is: 592,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,722 : 418,440 = 418,440 : x
  2. Step 2: Convert to fraction form
    295,722/418,440 = 418,440/x
  3. Step 3: Cross multiply
    295,722x = 418,440 × 418,440
  4. Step 4: Simplify right side
    295,722x = 175,092,033,600
  5. Step 5: Solve for x
    x = 175,092,033,600/295,722
  6. Step 6: Final answer
    x = 592,083.22

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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.