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Finding the Third Proportional to 501,402 and 776,757

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Solution

The third proportional to 501,402 and 776,757 is: 1,203,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,402 : 776,757 = 776,757 : x
  2. Step 2: Convert to fraction form
    501,402/776,757 = 776,757/x
  3. Step 3: Cross multiply
    501,402x = 776,757 × 776,757
  4. Step 4: Simplify right side
    501,402x = 603,351,437,049
  5. Step 5: Solve for x
    x = 603,351,437,049/501,402
  6. Step 6: Final answer
    x = 1,203,328.74

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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.