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Finding the Third Proportional to 200,074 and 472,292

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Solution

The third proportional to 200,074 and 472,292 is: 1,114,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,074 : 472,292 = 472,292 : x
  2. Step 2: Convert to fraction form
    200,074/472,292 = 472,292/x
  3. Step 3: Cross multiply
    200,074x = 472,292 × 472,292
  4. Step 4: Simplify right side
    200,074x = 223,059,733,264
  5. Step 5: Solve for x
    x = 223,059,733,264/200,074
  6. Step 6: Final answer
    x = 1,114,886.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.