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Finding the Third Proportional to 299,065 and 448,609.50

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Solution

The third proportional to 299,065 and 448,609.50 is: 672,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,065 : 448,609.50 = 448,609.50 : x
  2. Step 2: Convert to fraction form
    299,065/448,609.50 = 448,609.50/x
  3. Step 3: Cross multiply
    299,065x = 448,609.50 × 448,609.50
  4. Step 4: Simplify right side
    299,065x = 201,250,483,490.25
  5. Step 5: Solve for x
    x = 201,250,483,490.25/299,065
  6. Step 6: Final answer
    x = 672,932.25

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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.