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Finding the Third Proportional to 343,575 and 534,993

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Solution

The third proportional to 343,575 and 534,993 is: 833,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,575 : 534,993 = 534,993 : x
  2. Step 2: Convert to fraction form
    343,575/534,993 = 534,993/x
  3. Step 3: Cross multiply
    343,575x = 534,993 × 534,993
  4. Step 4: Simplify right side
    343,575x = 286,217,510,049
  5. Step 5: Solve for x
    x = 286,217,510,049/343,575
  6. Step 6: Final answer
    x = 833,056.86

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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.