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Finding the Third Proportional to 266,947 and 359,560

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Solution

The third proportional to 266,947 and 359,560 is: 484,303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,947 : 359,560 = 359,560 : x
  2. Step 2: Convert to fraction form
    266,947/359,560 = 359,560/x
  3. Step 3: Cross multiply
    266,947x = 359,560 × 359,560
  4. Step 4: Simplify right side
    266,947x = 129,283,393,600
  5. Step 5: Solve for x
    x = 129,283,393,600/266,947
  6. Step 6: Final answer
    x = 484,303.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.