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Finding the Third Proportional to 341,664 and 534,426

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Solution

The third proportional to 341,664 and 534,426 is: 835,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,664 : 534,426 = 534,426 : x
  2. Step 2: Convert to fraction form
    341,664/534,426 = 534,426/x
  3. Step 3: Cross multiply
    341,664x = 534,426 × 534,426
  4. Step 4: Simplify right side
    341,664x = 285,611,149,476
  5. Step 5: Solve for x
    x = 285,611,149,476/341,664
  6. Step 6: Final answer
    x = 835,941.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.