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Finding the Third Proportional to 305,584 and 458,952

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Solution

The third proportional to 305,584 and 458,952 is: 689,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,584 : 458,952 = 458,952 : x
  2. Step 2: Convert to fraction form
    305,584/458,952 = 458,952/x
  3. Step 3: Cross multiply
    305,584x = 458,952 × 458,952
  4. Step 4: Simplify right side
    305,584x = 210,636,938,304
  5. Step 5: Solve for x
    x = 210,636,938,304/305,584
  6. Step 6: Final answer
    x = 689,293.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.