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Finding the Third Proportional to 302,848 and 658,724

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Solution

The third proportional to 302,848 and 658,724 is: 1,432,789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,848 : 658,724 = 658,724 : x
  2. Step 2: Convert to fraction form
    302,848/658,724 = 658,724/x
  3. Step 3: Cross multiply
    302,848x = 658,724 × 658,724
  4. Step 4: Simplify right side
    302,848x = 433,917,308,176
  5. Step 5: Solve for x
    x = 433,917,308,176/302,848
  6. Step 6: Final answer
    x = 1,432,789.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.