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Finding the Third Proportional to 345,664 and 533,236

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Solution

The third proportional to 345,664 and 533,236 is: 822,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,664 : 533,236 = 533,236 : x
  2. Step 2: Convert to fraction form
    345,664/533,236 = 533,236/x
  3. Step 3: Cross multiply
    345,664x = 533,236 × 533,236
  4. Step 4: Simplify right side
    345,664x = 284,340,631,696
  5. Step 5: Solve for x
    x = 284,340,631,696/345,664
  6. Step 6: Final answer
    x = 822,592.55

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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.