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Finding the Third Proportional to 292,705 and 608,372

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Solution

The third proportional to 292,705 and 608,372 is: 1,264,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,705 : 608,372 = 608,372 : x
  2. Step 2: Convert to fraction form
    292,705/608,372 = 608,372/x
  3. Step 3: Cross multiply
    292,705x = 608,372 × 608,372
  4. Step 4: Simplify right side
    292,705x = 370,116,490,384
  5. Step 5: Solve for x
    x = 370,116,490,384/292,705
  6. Step 6: Final answer
    x = 1,264,469.31

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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.