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Finding the Third Proportional to 588,210 and 879,966

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Solution

The third proportional to 588,210 and 879,966 is: 1,316,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,210 : 879,966 = 879,966 : x
  2. Step 2: Convert to fraction form
    588,210/879,966 = 879,966/x
  3. Step 3: Cross multiply
    588,210x = 879,966 × 879,966
  4. Step 4: Simplify right side
    588,210x = 774,340,161,156
  5. Step 5: Solve for x
    x = 774,340,161,156/588,210
  6. Step 6: Final answer
    x = 1,316,434.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.