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Finding the Third Proportional to 292,184 and 606,832

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Solution

The third proportional to 292,184 and 606,832 is: 1,260,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,184 : 606,832 = 606,832 : x
  2. Step 2: Convert to fraction form
    292,184/606,832 = 606,832/x
  3. Step 3: Cross multiply
    292,184x = 606,832 × 606,832
  4. Step 4: Simplify right side
    292,184x = 368,245,076,224
  5. Step 5: Solve for x
    x = 368,245,076,224/292,184
  6. Step 6: Final answer
    x = 1,260,319.10

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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.