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Finding the Third Proportional to 405,510 and 592,857

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Solution

The third proportional to 405,510 and 592,857 is: 866,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,510 : 592,857 = 592,857 : x
  2. Step 2: Convert to fraction form
    405,510/592,857 = 592,857/x
  3. Step 3: Cross multiply
    405,510x = 592,857 × 592,857
  4. Step 4: Simplify right side
    405,510x = 351,479,422,449
  5. Step 5: Solve for x
    x = 351,479,422,449/405,510
  6. Step 6: Final answer
    x = 866,758.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.