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Finding the Third Proportional to 292,718 and 608,404

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Solution

The third proportional to 292,718 and 608,404 is: 1,264,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,718 : 608,404 = 608,404 : x
  2. Step 2: Convert to fraction form
    292,718/608,404 = 608,404/x
  3. Step 3: Cross multiply
    292,718x = 608,404 × 608,404
  4. Step 4: Simplify right side
    292,718x = 370,155,427,216
  5. Step 5: Solve for x
    x = 370,155,427,216/292,718
  6. Step 6: Final answer
    x = 1,264,546.17

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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.