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Finding the Third Proportional to 497,129 and 777,683

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Solution

The third proportional to 497,129 and 777,683 is: 1,216,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,129 : 777,683 = 777,683 : x
  2. Step 2: Convert to fraction form
    497,129/777,683 = 777,683/x
  3. Step 3: Cross multiply
    497,129x = 777,683 × 777,683
  4. Step 4: Simplify right side
    497,129x = 604,790,848,489
  5. Step 5: Solve for x
    x = 604,790,848,489/497,129
  6. Step 6: Final answer
    x = 1,216,567.23

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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.