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Finding the Third Proportional to 359,968 and 727,550

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Solution

The third proportional to 359,968 and 727,550 is: 1,470,489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,968 : 727,550 = 727,550 : x
  2. Step 2: Convert to fraction form
    359,968/727,550 = 727,550/x
  3. Step 3: Cross multiply
    359,968x = 727,550 × 727,550
  4. Step 4: Simplify right side
    359,968x = 529,329,002,500
  5. Step 5: Solve for x
    x = 529,329,002,500/359,968
  6. Step 6: Final answer
    x = 1,470,489.05

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.