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Finding the Third Proportional to 448,597.50 and 672,914.25

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Solution

The third proportional to 448,597.50 and 672,914.25 is: 1,009,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,597.50 : 672,914.25 = 672,914.25 : x
  2. Step 2: Convert to fraction form
    448,597.50/672,914.25 = 672,914.25/x
  3. Step 3: Cross multiply
    448,597.50x = 672,914.25 × 672,914.25
  4. Step 4: Simplify right side
    448,597.50x = 452,813,587,853.06
  5. Step 5: Solve for x
    x = 452,813,587,853.06/448,597.50
  6. Step 6: Final answer
    x = 1,009,398.38

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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.