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Finding the Third Proportional to 264,432 and 376,944

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Solution

The third proportional to 264,432 and 376,944 is: 537,328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,432 : 376,944 = 376,944 : x
  2. Step 2: Convert to fraction form
    264,432/376,944 = 376,944/x
  3. Step 3: Cross multiply
    264,432x = 376,944 × 376,944
  4. Step 4: Simplify right side
    264,432x = 142,086,779,136
  5. Step 5: Solve for x
    x = 142,086,779,136/264,432
  6. Step 6: Final answer
    x = 537,328.23

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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.