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Finding the Third Proportional to 292,722 and 608,412

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Solution

The third proportional to 292,722 and 608,412 is: 1,264,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,722 : 608,412 = 608,412 : x
  2. Step 2: Convert to fraction form
    292,722/608,412 = 608,412/x
  3. Step 3: Cross multiply
    292,722x = 608,412 × 608,412
  4. Step 4: Simplify right side
    292,722x = 370,165,161,744
  5. Step 5: Solve for x
    x = 370,165,161,744/292,722
  6. Step 6: Final answer
    x = 1,264,562.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.