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Finding the Third Proportional to 423,266 and 574,203

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Solution

The third proportional to 423,266 and 574,203 is: 778,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,266 : 574,203 = 574,203 : x
  2. Step 2: Convert to fraction form
    423,266/574,203 = 574,203/x
  3. Step 3: Cross multiply
    423,266x = 574,203 × 574,203
  4. Step 4: Simplify right side
    423,266x = 329,709,085,209
  5. Step 5: Solve for x
    x = 329,709,085,209/423,266
  6. Step 6: Final answer
    x = 778,964.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.