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Finding the Third Proportional to 334,804 and 522,510

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Solution

The third proportional to 334,804 and 522,510 is: 815,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,804 : 522,510 = 522,510 : x
  2. Step 2: Convert to fraction form
    334,804/522,510 = 522,510/x
  3. Step 3: Cross multiply
    334,804x = 522,510 × 522,510
  4. Step 4: Simplify right side
    334,804x = 273,016,700,100
  5. Step 5: Solve for x
    x = 273,016,700,100/334,804
  6. Step 6: Final answer
    x = 815,452.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.