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Finding the Third Proportional to 287,764 and 586,952

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Solution

The third proportional to 287,764 and 586,952 is: 1,197,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,764 : 586,952 = 586,952 : x
  2. Step 2: Convert to fraction form
    287,764/586,952 = 586,952/x
  3. Step 3: Cross multiply
    287,764x = 586,952 × 586,952
  4. Step 4: Simplify right side
    287,764x = 344,512,650,304
  5. Step 5: Solve for x
    x = 344,512,650,304/287,764
  6. Step 6: Final answer
    x = 1,197,205.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.