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Finding the Third Proportional to 348,754 and 493,624

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Solution

The third proportional to 348,754 and 493,624 is: 698,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,754 : 493,624 = 493,624 : x
  2. Step 2: Convert to fraction form
    348,754/493,624 = 493,624/x
  3. Step 3: Cross multiply
    348,754x = 493,624 × 493,624
  4. Step 4: Simplify right side
    348,754x = 243,664,653,376
  5. Step 5: Solve for x
    x = 243,664,653,376/348,754
  6. Step 6: Final answer
    x = 698,672.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.