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Finding the Third Proportional to 314,199 and 669,586.50

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Solution

The third proportional to 314,199 and 669,586.50 is: 1,426,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,199 : 669,586.50 = 669,586.50 : x
  2. Step 2: Convert to fraction form
    314,199/669,586.50 = 669,586.50/x
  3. Step 3: Cross multiply
    314,199x = 669,586.50 × 669,586.50
  4. Step 4: Simplify right side
    314,199x = 448,346,080,982.25
  5. Step 5: Solve for x
    x = 448,346,080,982.25/314,199
  6. Step 6: Final answer
    x = 1,426,949.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.