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Finding the Third Proportional to 359,080 and 777,592

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Solution

The third proportional to 359,080 and 777,592 is: 1,683,884.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,080 : 777,592 = 777,592 : x
  2. Step 2: Convert to fraction form
    359,080/777,592 = 777,592/x
  3. Step 3: Cross multiply
    359,080x = 777,592 × 777,592
  4. Step 4: Simplify right side
    359,080x = 604,649,318,464
  5. Step 5: Solve for x
    x = 604,649,318,464/359,080
  6. Step 6: Final answer
    x = 1,683,884.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.