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Finding the Third Proportional to 359,293.50 and 788,571.75

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Solution

The third proportional to 359,293.50 and 788,571.75 is: 1,730,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,293.50 : 788,571.75 = 788,571.75 : x
  2. Step 2: Convert to fraction form
    359,293.50/788,571.75 = 788,571.75/x
  3. Step 3: Cross multiply
    359,293.50x = 788,571.75 × 788,571.75
  4. Step 4: Simplify right side
    359,293.50x = 621,845,404,898.06
  5. Step 5: Solve for x
    x = 621,845,404,898.06/359,293.50
  6. Step 6: Final answer
    x = 1,730,744.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.