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Finding the Third Proportional to 497,109 and 777,654

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Solution

The third proportional to 497,109 and 777,654 is: 1,216,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,109 : 777,654 = 777,654 : x
  2. Step 2: Convert to fraction form
    497,109/777,654 = 777,654/x
  3. Step 3: Cross multiply
    497,109x = 777,654 × 777,654
  4. Step 4: Simplify right side
    497,109x = 604,745,743,716
  5. Step 5: Solve for x
    x = 604,745,743,716/497,109
  6. Step 6: Final answer
    x = 1,216,525.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.