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Finding the Third Proportional to 359,957.25 and 777,642

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Solution

The third proportional to 359,957.25 and 777,642 is: 1,679,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,957.25 : 777,642 = 777,642 : x
  2. Step 2: Convert to fraction form
    359,957.25/777,642 = 777,642/x
  3. Step 3: Cross multiply
    359,957.25x = 777,642 × 777,642
  4. Step 4: Simplify right side
    359,957.25x = 604,727,080,164
  5. Step 5: Solve for x
    x = 604,727,080,164/359,957.25
  6. Step 6: Final answer
    x = 1,679,996.94

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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.