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Finding the Third Proportional to 316,046 and 669,262

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Solution

The third proportional to 316,046 and 669,262 is: 1,417,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,046 : 669,262 = 669,262 : x
  2. Step 2: Convert to fraction form
    316,046/669,262 = 669,262/x
  3. Step 3: Cross multiply
    316,046x = 669,262 × 669,262
  4. Step 4: Simplify right side
    316,046x = 447,911,624,644
  5. Step 5: Solve for x
    x = 447,911,624,644/316,046
  6. Step 6: Final answer
    x = 1,417,235.54

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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.