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Finding the Third Proportional to 292,080 and 442,019

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Solution

The third proportional to 292,080 and 442,019 is: 668,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,080 : 442,019 = 442,019 : x
  2. Step 2: Convert to fraction form
    292,080/442,019 = 442,019/x
  3. Step 3: Cross multiply
    292,080x = 442,019 × 442,019
  4. Step 4: Simplify right side
    292,080x = 195,380,796,361
  5. Step 5: Solve for x
    x = 195,380,796,361/292,080
  6. Step 6: Final answer
    x = 668,929.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.