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Finding the Third Proportional to 287,784 and 586,984

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Solution

The third proportional to 287,784 and 586,984 is: 1,197,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,784 : 586,984 = 586,984 : x
  2. Step 2: Convert to fraction form
    287,784/586,984 = 586,984/x
  3. Step 3: Cross multiply
    287,784x = 586,984 × 586,984
  4. Step 4: Simplify right side
    287,784x = 344,550,216,256
  5. Step 5: Solve for x
    x = 344,550,216,256/287,784
  6. Step 6: Final answer
    x = 1,197,252.86

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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.