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Finding the Third Proportional to 387,247.50 and 835,677

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Solution

The third proportional to 387,247.50 and 835,677 is: 1,803,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,247.50 : 835,677 = 835,677 : x
  2. Step 2: Convert to fraction form
    387,247.50/835,677 = 835,677/x
  3. Step 3: Cross multiply
    387,247.50x = 835,677 × 835,677
  4. Step 4: Simplify right side
    387,247.50x = 698,356,048,329
  5. Step 5: Solve for x
    x = 698,356,048,329/387,247.50
  6. Step 6: Final answer
    x = 1,803,384.27

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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.