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Finding the Third Proportional to 452,536.88 and 670,978.13

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Solution

The third proportional to 452,536.88 and 670,978.13 is: 994,861.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,536.88 : 670,978.13 = 670,978.13 : x
  2. Step 2: Convert to fraction form
    452,536.88/670,978.13 = 670,978.13/x
  3. Step 3: Cross multiply
    452,536.88x = 670,978.13 × 670,978.13
  4. Step 4: Simplify right side
    452,536.88x = 450,211,644,228.52
  5. Step 5: Solve for x
    x = 450,211,644,228.52/452,536.88
  6. Step 6: Final answer
    x = 994,861.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.