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Finding the Third Proportional to 356,596.50 and 777,164.50

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Solution

The third proportional to 356,596.50 and 777,164.50 is: 1,693,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,596.50 : 777,164.50 = 777,164.50 : x
  2. Step 2: Convert to fraction form
    356,596.50/777,164.50 = 777,164.50/x
  3. Step 3: Cross multiply
    356,596.50x = 777,164.50 × 777,164.50
  4. Step 4: Simplify right side
    356,596.50x = 603,984,660,060.25
  5. Step 5: Solve for x
    x = 603,984,660,060.25/356,596.50
  6. Step 6: Final answer
    x = 1,693,748.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.