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Finding the Third Proportional to 688,325.06 and 1,476,292.78

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Solution

The third proportional to 688,325.06 and 1,476,292.78 is: 3,166,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,325.06 : 1,476,292.78 = 1,476,292.78 : x
  2. Step 2: Convert to fraction form
    688,325.06/1,476,292.78 = 1,476,292.78/x
  3. Step 3: Cross multiply
    688,325.06x = 1,476,292.78 × 1,476,292.78
  4. Step 4: Simplify right side
    688,325.06x = 2,179,440,375,970.86
  5. Step 5: Solve for x
    x = 2,179,440,375,970.86/688,325.06
  6. Step 6: Final answer
    x = 3,166,295.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.