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Finding the Third Proportional to 259,972 and 567,528

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Solution

The third proportional to 259,972 and 567,528 is: 1,238,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,972 : 567,528 = 567,528 : x
  2. Step 2: Convert to fraction form
    259,972/567,528 = 567,528/x
  3. Step 3: Cross multiply
    259,972x = 567,528 × 567,528
  4. Step 4: Simplify right side
    259,972x = 322,088,030,784
  5. Step 5: Solve for x
    x = 322,088,030,784/259,972
  6. Step 6: Final answer
    x = 1,238,933.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.