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Finding the Third Proportional to 200,070 and 472,282

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Solution

The third proportional to 200,070 and 472,282 is: 1,114,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,070 : 472,282 = 472,282 : x
  2. Step 2: Convert to fraction form
    200,070/472,282 = 472,282/x
  3. Step 3: Cross multiply
    200,070x = 472,282 × 472,282
  4. Step 4: Simplify right side
    200,070x = 223,050,287,524
  5. Step 5: Solve for x
    x = 223,050,287,524/200,070
  6. Step 6: Final answer
    x = 1,114,861.24

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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.