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Finding the Third Proportional to 554,586 and 856,335

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Solution

The third proportional to 554,586 and 856,335 is: 1,322,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,586 : 856,335 = 856,335 : x
  2. Step 2: Convert to fraction form
    554,586/856,335 = 856,335/x
  3. Step 3: Cross multiply
    554,586x = 856,335 × 856,335
  4. Step 4: Simplify right side
    554,586x = 733,309,632,225
  5. Step 5: Solve for x
    x = 733,309,632,225/554,586
  6. Step 6: Final answer
    x = 1,322,264.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.