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Finding the Third Proportional to 418,711.50 and 598,054.50

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Solution

The third proportional to 418,711.50 and 598,054.50 is: 854,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,711.50 : 598,054.50 = 598,054.50 : x
  2. Step 2: Convert to fraction form
    418,711.50/598,054.50 = 598,054.50/x
  3. Step 3: Cross multiply
    418,711.50x = 598,054.50 × 598,054.50
  4. Step 4: Simplify right side
    418,711.50x = 357,669,184,970.25
  5. Step 5: Solve for x
    x = 357,669,184,970.25/418,711.50
  6. Step 6: Final answer
    x = 854,213.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.