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Finding the Third Proportional to 299,461 and 448,729.50

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Solution

The third proportional to 299,461 and 448,729.50 is: 672,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,461 : 448,729.50 = 448,729.50 : x
  2. Step 2: Convert to fraction form
    299,461/448,729.50 = 448,729.50/x
  3. Step 3: Cross multiply
    299,461x = 448,729.50 × 448,729.50
  4. Step 4: Simplify right side
    299,461x = 201,358,164,170.25
  5. Step 5: Solve for x
    x = 201,358,164,170.25/299,461
  6. Step 6: Final answer
    x = 672,401.96

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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.