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Finding the Third Proportional to 264,252 and 466,440

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Solution

The third proportional to 264,252 and 466,440 is: 823,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,252 : 466,440 = 466,440 : x
  2. Step 2: Convert to fraction form
    264,252/466,440 = 466,440/x
  3. Step 3: Cross multiply
    264,252x = 466,440 × 466,440
  4. Step 4: Simplify right side
    264,252x = 217,566,273,600
  5. Step 5: Solve for x
    x = 217,566,273,600/264,252
  6. Step 6: Final answer
    x = 823,328.77

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.