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Finding the Third Proportional to 501,156 and 777,195

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Solution

The third proportional to 501,156 and 777,195 is: 1,205,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,156 : 777,195 = 777,195 : x
  2. Step 2: Convert to fraction form
    501,156/777,195 = 777,195/x
  3. Step 3: Cross multiply
    501,156x = 777,195 × 777,195
  4. Step 4: Simplify right side
    501,156x = 604,032,068,025
  5. Step 5: Solve for x
    x = 604,032,068,025/501,156
  6. Step 6: Final answer
    x = 1,205,277.53

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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.