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Finding the Third Proportional to 497,126.25 and 777,677.63

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Solution

The third proportional to 497,126.25 and 777,677.63 is: 1,216,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,126.25 : 777,677.63 = 777,677.63 : x
  2. Step 2: Convert to fraction form
    497,126.25/777,677.63 = 777,677.63/x
  3. Step 3: Cross multiply
    497,126.25x = 777,677.63 × 777,677.63
  4. Step 4: Simplify right side
    497,126.25x = 604,782,488,425.64
  5. Step 5: Solve for x
    x = 604,782,488,425.64/497,126.25
  6. Step 6: Final answer
    x = 1,216,557.14

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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.