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Finding the Third Proportional to 200,090 and 472,320

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Solution

The third proportional to 200,090 and 472,320 is: 1,114,929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,090 : 472,320 = 472,320 : x
  2. Step 2: Convert to fraction form
    200,090/472,320 = 472,320/x
  3. Step 3: Cross multiply
    200,090x = 472,320 × 472,320
  4. Step 4: Simplify right side
    200,090x = 223,086,182,400
  5. Step 5: Solve for x
    x = 223,086,182,400/200,090
  6. Step 6: Final answer
    x = 1,114,929.19

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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.