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Finding the Third Proportional to 577,536 and 866,304

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Solution

The third proportional to 577,536 and 866,304 is: 1,299,456

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,536 : 866,304 = 866,304 : x
  2. Step 2: Convert to fraction form
    577,536/866,304 = 866,304/x
  3. Step 3: Cross multiply
    577,536x = 866,304 × 866,304
  4. Step 4: Simplify right side
    577,536x = 750,482,620,416
  5. Step 5: Solve for x
    x = 750,482,620,416/577,536
  6. Step 6: Final answer
    x = 1,299,456

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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.