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Finding the Third Proportional to 201,492 and 423,666

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Solution

The third proportional to 201,492 and 423,666 is: 890,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,492 : 423,666 = 423,666 : x
  2. Step 2: Convert to fraction form
    201,492/423,666 = 423,666/x
  3. Step 3: Cross multiply
    201,492x = 423,666 × 423,666
  4. Step 4: Simplify right side
    201,492x = 179,492,879,556
  5. Step 5: Solve for x
    x = 179,492,879,556/201,492
  6. Step 6: Final answer
    x = 890,818.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.