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Finding the Third Proportional to 592,320 and 866,256

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Solution

The third proportional to 592,320 and 866,256 is: 1,266,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,320 : 866,256 = 866,256 : x
  2. Step 2: Convert to fraction form
    592,320/866,256 = 866,256/x
  3. Step 3: Cross multiply
    592,320x = 866,256 × 866,256
  4. Step 4: Simplify right side
    592,320x = 750,399,457,536
  5. Step 5: Solve for x
    x = 750,399,457,536/592,320
  6. Step 6: Final answer
    x = 1,266,881.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.