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Finding the Third Proportional to 359,964 and 777,655

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Solution

The third proportional to 359,964 and 777,655 is: 1,680,021.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,964 : 777,655 = 777,655 : x
  2. Step 2: Convert to fraction form
    359,964/777,655 = 777,655/x
  3. Step 3: Cross multiply
    359,964x = 777,655 × 777,655
  4. Step 4: Simplify right side
    359,964x = 604,747,299,025
  5. Step 5: Solve for x
    x = 604,747,299,025/359,964
  6. Step 6: Final answer
    x = 1,680,021.61

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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.