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Finding the Third Proportional to 312,452 and 466,633

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Solution

The third proportional to 312,452 and 466,633 is: 696,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,452 : 466,633 = 466,633 : x
  2. Step 2: Convert to fraction form
    312,452/466,633 = 466,633/x
  3. Step 3: Cross multiply
    312,452x = 466,633 × 466,633
  4. Step 4: Simplify right side
    312,452x = 217,746,356,689
  5. Step 5: Solve for x
    x = 217,746,356,689/312,452
  6. Step 6: Final answer
    x = 696,895.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.