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Finding the Third Proportional to 262,308 and 393,466

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Solution

The third proportional to 262,308 and 393,466 is: 590,205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,308 : 393,466 = 393,466 : x
  2. Step 2: Convert to fraction form
    262,308/393,466 = 393,466/x
  3. Step 3: Cross multiply
    262,308x = 393,466 × 393,466
  4. Step 4: Simplify right side
    262,308x = 154,815,493,156
  5. Step 5: Solve for x
    x = 154,815,493,156/262,308
  6. Step 6: Final answer
    x = 590,205.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.