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Finding the Third Proportional to 353,052 and 532,878.75

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Solution

The third proportional to 353,052 and 532,878.75 is: 804,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,052 : 532,878.75 = 532,878.75 : x
  2. Step 2: Convert to fraction form
    353,052/532,878.75 = 532,878.75/x
  3. Step 3: Cross multiply
    353,052x = 532,878.75 × 532,878.75
  4. Step 4: Simplify right side
    353,052x = 283,959,762,201.56
  5. Step 5: Solve for x
    x = 283,959,762,201.56/353,052
  6. Step 6: Final answer
    x = 804,300.11

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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.