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Finding the Third Proportional to 501,688 and 777,138

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Solution

The third proportional to 501,688 and 777,138 is: 1,203,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,688 : 777,138 = 777,138 : x
  2. Step 2: Convert to fraction form
    501,688/777,138 = 777,138/x
  3. Step 3: Cross multiply
    501,688x = 777,138 × 777,138
  4. Step 4: Simplify right side
    501,688x = 603,943,471,044
  5. Step 5: Solve for x
    x = 603,943,471,044/501,688
  6. Step 6: Final answer
    x = 1,203,822.84

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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.