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Finding the Third Proportional to 359,744 and 777,118

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Solution

The third proportional to 359,744 and 777,118 is: 1,678,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,744 : 777,118 = 777,118 : x
  2. Step 2: Convert to fraction form
    359,744/777,118 = 777,118/x
  3. Step 3: Cross multiply
    359,744x = 777,118 × 777,118
  4. Step 4: Simplify right side
    359,744x = 603,912,385,924
  5. Step 5: Solve for x
    x = 603,912,385,924/359,744
  6. Step 6: Final answer
    x = 1,678,728.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.