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Finding the Third Proportional to 292,392 and 607,767

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Solution

The third proportional to 292,392 and 607,767 is: 1,263,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,392 : 607,767 = 607,767 : x
  2. Step 2: Convert to fraction form
    292,392/607,767 = 607,767/x
  3. Step 3: Cross multiply
    292,392x = 607,767 × 607,767
  4. Step 4: Simplify right side
    292,392x = 369,380,726,289
  5. Step 5: Solve for x
    x = 369,380,726,289/292,392
  6. Step 6: Final answer
    x = 1,263,306.54

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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.