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Finding the Third Proportional to 360,528 and 834,600

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Solution

The third proportional to 360,528 and 834,600 is: 1,932,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,528 : 834,600 = 834,600 : x
  2. Step 2: Convert to fraction form
    360,528/834,600 = 834,600/x
  3. Step 3: Cross multiply
    360,528x = 834,600 × 834,600
  4. Step 4: Simplify right side
    360,528x = 696,557,160,000
  5. Step 5: Solve for x
    x = 696,557,160,000/360,528
  6. Step 6: Final answer
    x = 1,932,047.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.