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Finding the Third Proportional to 407,236 and 535,523

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Solution

The third proportional to 407,236 and 535,523 is: 704,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,236 : 535,523 = 535,523 : x
  2. Step 2: Convert to fraction form
    407,236/535,523 = 535,523/x
  3. Step 3: Cross multiply
    407,236x = 535,523 × 535,523
  4. Step 4: Simplify right side
    407,236x = 286,784,883,529
  5. Step 5: Solve for x
    x = 286,784,883,529/407,236
  6. Step 6: Final answer
    x = 704,222.82

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.