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Finding the Third Proportional to 497,107.13 and 777,650.63

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Solution

The third proportional to 497,107.13 and 777,650.63 is: 1,216,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,107.13 : 777,650.63 = 777,650.63 : x
  2. Step 2: Convert to fraction form
    497,107.13/777,650.63 = 777,650.63/x
  3. Step 3: Cross multiply
    497,107.13x = 777,650.63 × 777,650.63
  4. Step 4: Simplify right side
    497,107.13x = 604,740,494,562.89
  5. Step 5: Solve for x
    x = 604,740,494,562.89/497,107.13
  6. Step 6: Final answer
    x = 1,216,519.47

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