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Finding the Third Proportional to 295,569 and 458,601

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Solution

The third proportional to 295,569 and 458,601 is: 711,559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,569 : 458,601 = 458,601 : x
  2. Step 2: Convert to fraction form
    295,569/458,601 = 458,601/x
  3. Step 3: Cross multiply
    295,569x = 458,601 × 458,601
  4. Step 4: Simplify right side
    295,569x = 210,314,877,201
  5. Step 5: Solve for x
    x = 210,314,877,201/295,569
  6. Step 6: Final answer
    x = 711,559.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.