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Finding the Third Proportional to 359,001 and 729,774

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Solution

The third proportional to 359,001 and 729,774 is: 1,483,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,001 : 729,774 = 729,774 : x
  2. Step 2: Convert to fraction form
    359,001/729,774 = 729,774/x
  3. Step 3: Cross multiply
    359,001x = 729,774 × 729,774
  4. Step 4: Simplify right side
    359,001x = 532,570,091,076
  5. Step 5: Solve for x
    x = 532,570,091,076/359,001
  6. Step 6: Final answer
    x = 1,483,478.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.