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Finding the Third Proportional to 576,582 and 879,088

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Solution

The third proportional to 576,582 and 879,088 is: 1,340,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,582 : 879,088 = 879,088 : x
  2. Step 2: Convert to fraction form
    576,582/879,088 = 879,088/x
  3. Step 3: Cross multiply
    576,582x = 879,088 × 879,088
  4. Step 4: Simplify right side
    576,582x = 772,795,711,744
  5. Step 5: Solve for x
    x = 772,795,711,744/576,582
  6. Step 6: Final answer
    x = 1,340,304.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.