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Finding the Third Proportional to 501,218 and 767,703

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Solution

The third proportional to 501,218 and 767,703 is: 1,175,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,218 : 767,703 = 767,703 : x
  2. Step 2: Convert to fraction form
    501,218/767,703 = 767,703/x
  3. Step 3: Cross multiply
    501,218x = 767,703 × 767,703
  4. Step 4: Simplify right side
    501,218x = 589,367,896,209
  5. Step 5: Solve for x
    x = 589,367,896,209/501,218
  6. Step 6: Final answer
    x = 1,175,871.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.