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Finding the Third Proportional to 359,967.75 and 777,663.75

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Solution

The third proportional to 359,967.75 and 777,663.75 is: 1,680,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,967.75 : 777,663.75 = 777,663.75 : x
  2. Step 2: Convert to fraction form
    359,967.75/777,663.75 = 777,663.75/x
  3. Step 3: Cross multiply
    359,967.75x = 777,663.75 × 777,663.75
  4. Step 4: Simplify right side
    359,967.75x = 604,760,908,064.06
  5. Step 5: Solve for x
    x = 604,760,908,064.06/359,967.75
  6. Step 6: Final answer
    x = 1,680,041.92

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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.