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Finding the Third Proportional to 424.50 and 578.06

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Solution

The third proportional to 424.50 and 578.06 is: 787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.50 : 578.06 = 578.06 : x
  2. Step 2: Convert to fraction form
    424.50/578.06 = 578.06/x
  3. Step 3: Cross multiply
    424.50x = 578.06 × 578.06
  4. Step 4: Simplify right side
    424.50x = 334,156.25
  5. Step 5: Solve for x
    x = 334,156.25/424.50
  6. Step 6: Final answer
    x = 787.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.