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Finding the Third Proportional to 304,600 and 702,028

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Solution

The third proportional to 304,600 and 702,028 is: 1,618,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,600 : 702,028 = 702,028 : x
  2. Step 2: Convert to fraction form
    304,600/702,028 = 702,028/x
  3. Step 3: Cross multiply
    304,600x = 702,028 × 702,028
  4. Step 4: Simplify right side
    304,600x = 492,843,312,784
  5. Step 5: Solve for x
    x = 492,843,312,784/304,600
  6. Step 6: Final answer
    x = 1,618,001.68

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.