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Finding the Third Proportional to 768,578.25 and 1,148,632.50

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Solution

The third proportional to 768,578.25 and 1,148,632.50 is: 1,716,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,578.25 : 1,148,632.50 = 1,148,632.50 : x
  2. Step 2: Convert to fraction form
    768,578.25/1,148,632.50 = 1,148,632.50/x
  3. Step 3: Cross multiply
    768,578.25x = 1,148,632.50 × 1,148,632.50
  4. Step 4: Simplify right side
    768,578.25x = 1,319,356,620,056.25
  5. Step 5: Solve for x
    x = 1,319,356,620,056.25/768,578.25
  6. Step 6: Final answer
    x = 1,716,619.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.