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Finding the Third Proportional to 258,232 and 566,306

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Solution

The third proportional to 258,232 and 566,306 is: 1,241,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,232 : 566,306 = 566,306 : x
  2. Step 2: Convert to fraction form
    258,232/566,306 = 566,306/x
  3. Step 3: Cross multiply
    258,232x = 566,306 × 566,306
  4. Step 4: Simplify right side
    258,232x = 320,702,485,636
  5. Step 5: Solve for x
    x = 320,702,485,636/258,232
  6. Step 6: Final answer
    x = 1,241,916.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.