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Finding the Third Proportional to 264,363 and 376,861.50

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Solution

The third proportional to 264,363 and 376,861.50 is: 537,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,363 : 376,861.50 = 376,861.50 : x
  2. Step 2: Convert to fraction form
    264,363/376,861.50 = 376,861.50/x
  3. Step 3: Cross multiply
    264,363x = 376,861.50 × 376,861.50
  4. Step 4: Simplify right side
    264,363x = 142,024,590,182.25
  5. Step 5: Solve for x
    x = 142,024,590,182.25/264,363
  6. Step 6: Final answer
    x = 537,233.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.