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Finding the Third Proportional to 501,561.50 and 777,492.75

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Solution

The third proportional to 501,561.50 and 777,492.75 is: 1,205,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,561.50 : 777,492.75 = 777,492.75 : x
  2. Step 2: Convert to fraction form
    501,561.50/777,492.75 = 777,492.75/x
  3. Step 3: Cross multiply
    501,561.50x = 777,492.75 × 777,492.75
  4. Step 4: Simplify right side
    501,561.50x = 604,494,976,302.56
  5. Step 5: Solve for x
    x = 604,494,976,302.56/501,561.50
  6. Step 6: Final answer
    x = 1,205,226.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.