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Finding the Third Proportional to 318,030 and 691,276

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Solution

The third proportional to 318,030 and 691,276 is: 1,502,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,030 : 691,276 = 691,276 : x
  2. Step 2: Convert to fraction form
    318,030/691,276 = 691,276/x
  3. Step 3: Cross multiply
    318,030x = 691,276 × 691,276
  4. Step 4: Simplify right side
    318,030x = 477,862,508,176
  5. Step 5: Solve for x
    x = 477,862,508,176/318,030
  6. Step 6: Final answer
    x = 1,502,570.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.