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Finding the Third Proportional to 449,175 and 675,585

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Solution

The third proportional to 449,175 and 675,585 is: 1,016,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,175 : 675,585 = 675,585 : x
  2. Step 2: Convert to fraction form
    449,175/675,585 = 675,585/x
  3. Step 3: Cross multiply
    449,175x = 675,585 × 675,585
  4. Step 4: Simplify right side
    449,175x = 456,415,092,225
  5. Step 5: Solve for x
    x = 456,415,092,225/449,175
  6. Step 6: Final answer
    x = 1,016,118.64

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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.