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Finding the Third Proportional to 353,117 and 532,976

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Solution

The third proportional to 353,117 and 532,976 is: 804,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,117 : 532,976 = 532,976 : x
  2. Step 2: Convert to fraction form
    353,117/532,976 = 532,976/x
  3. Step 3: Cross multiply
    353,117x = 532,976 × 532,976
  4. Step 4: Simplify right side
    353,117x = 284,063,416,576
  5. Step 5: Solve for x
    x = 284,063,416,576/353,117
  6. Step 6: Final answer
    x = 804,445.60

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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.