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Finding the Third Proportional to 237,772 and 528,032

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Solution

The third proportional to 237,772 and 528,032 is: 1,172,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,772 : 528,032 = 528,032 : x
  2. Step 2: Convert to fraction form
    237,772/528,032 = 528,032/x
  3. Step 3: Cross multiply
    237,772x = 528,032 × 528,032
  4. Step 4: Simplify right side
    237,772x = 278,817,793,024
  5. Step 5: Solve for x
    x = 278,817,793,024/237,772
  6. Step 6: Final answer
    x = 1,172,626.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.