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Finding the Third Proportional to 366,069.38 and 788,332.50

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Solution

The third proportional to 366,069.38 and 788,332.50 is: 1,697,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,069.38 : 788,332.50 = 788,332.50 : x
  2. Step 2: Convert to fraction form
    366,069.38/788,332.50 = 788,332.50/x
  3. Step 3: Cross multiply
    366,069.38x = 788,332.50 × 788,332.50
  4. Step 4: Simplify right side
    366,069.38x = 621,468,130,556.25
  5. Step 5: Solve for x
    x = 621,468,130,556.25/366,069.38
  6. Step 6: Final answer
    x = 1,697,678.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.