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Finding the Third Proportional to 342,346 and 454,362

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Solution

The third proportional to 342,346 and 454,362 is: 603,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,346 : 454,362 = 454,362 : x
  2. Step 2: Convert to fraction form
    342,346/454,362 = 454,362/x
  3. Step 3: Cross multiply
    342,346x = 454,362 × 454,362
  4. Step 4: Simplify right side
    342,346x = 206,444,827,044
  5. Step 5: Solve for x
    x = 206,444,827,044/342,346
  6. Step 6: Final answer
    x = 603,029.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.