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Finding the Third Proportional to 314,201 and 669,591

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Solution

The third proportional to 314,201 and 669,591 is: 1,426,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,201 : 669,591 = 669,591 : x
  2. Step 2: Convert to fraction form
    314,201/669,591 = 669,591/x
  3. Step 3: Cross multiply
    314,201x = 669,591 × 669,591
  4. Step 4: Simplify right side
    314,201x = 448,352,107,281
  5. Step 5: Solve for x
    x = 448,352,107,281/314,201
  6. Step 6: Final answer
    x = 1,426,959.52

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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.