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Finding the Third Proportional to 768,901.50 and 1,164,834

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Solution

The third proportional to 768,901.50 and 1,164,834 is: 1,764,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,901.50 : 1,164,834 = 1,164,834 : x
  2. Step 2: Convert to fraction form
    768,901.50/1,164,834 = 1,164,834/x
  3. Step 3: Cross multiply
    768,901.50x = 1,164,834 × 1,164,834
  4. Step 4: Simplify right side
    768,901.50x = 1,356,838,247,556
  5. Step 5: Solve for x
    x = 1,356,838,247,556/768,901.50
  6. Step 6: Final answer
    x = 1,764,645.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.