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Finding the Third Proportional to 200,359 and 423,074

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Solution

The third proportional to 200,359 and 423,074 is: 893,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,359 : 423,074 = 423,074 : x
  2. Step 2: Convert to fraction form
    200,359/423,074 = 423,074/x
  3. Step 3: Cross multiply
    200,359x = 423,074 × 423,074
  4. Step 4: Simplify right side
    200,359x = 178,991,609,476
  5. Step 5: Solve for x
    x = 178,991,609,476/200,359
  6. Step 6: Final answer
    x = 893,354.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.