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Finding the Third Proportional to 304,182 and 458,730

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Solution

The third proportional to 304,182 and 458,730 is: 691,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,182 : 458,730 = 458,730 : x
  2. Step 2: Convert to fraction form
    304,182/458,730 = 458,730/x
  3. Step 3: Cross multiply
    304,182x = 458,730 × 458,730
  4. Step 4: Simplify right side
    304,182x = 210,433,212,900
  5. Step 5: Solve for x
    x = 210,433,212,900/304,182
  6. Step 6: Final answer
    x = 691,800.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.