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Finding the Third Proportional to 450,281 and 633,301

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Solution

The third proportional to 450,281 and 633,301 is: 890,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,281 : 633,301 = 633,301 : x
  2. Step 2: Convert to fraction form
    450,281/633,301 = 633,301/x
  3. Step 3: Cross multiply
    450,281x = 633,301 × 633,301
  4. Step 4: Simplify right side
    450,281x = 401,070,156,601
  5. Step 5: Solve for x
    x = 401,070,156,601/450,281
  6. Step 6: Final answer
    x = 890,710.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.