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Finding the Third Proportional to 316,052 and 669,274

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Solution

The third proportional to 316,052 and 669,274 is: 1,417,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,052 : 669,274 = 669,274 : x
  2. Step 2: Convert to fraction form
    316,052/669,274 = 669,274/x
  3. Step 3: Cross multiply
    316,052x = 669,274 × 669,274
  4. Step 4: Simplify right side
    316,052x = 447,927,687,076
  5. Step 5: Solve for x
    x = 447,927,687,076/316,052
  6. Step 6: Final answer
    x = 1,417,259.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.