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Finding the Third Proportional to 360,204.75 and 776,272.50

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Solution

The third proportional to 360,204.75 and 776,272.50 is: 1,672,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,204.75 : 776,272.50 = 776,272.50 : x
  2. Step 2: Convert to fraction form
    360,204.75/776,272.50 = 776,272.50/x
  3. Step 3: Cross multiply
    360,204.75x = 776,272.50 × 776,272.50
  4. Step 4: Simplify right side
    360,204.75x = 602,598,994,256.25
  5. Step 5: Solve for x
    x = 602,598,994,256.25/360,204.75
  6. Step 6: Final answer
    x = 1,672,934.61

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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.