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Finding the Third Proportional to 423,010 and 647,893.50

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Solution

The third proportional to 423,010 and 647,893.50 is: 992,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,010 : 647,893.50 = 647,893.50 : x
  2. Step 2: Convert to fraction form
    423,010/647,893.50 = 647,893.50/x
  3. Step 3: Cross multiply
    423,010x = 647,893.50 × 647,893.50
  4. Step 4: Simplify right side
    423,010x = 419,765,987,342.25
  5. Step 5: Solve for x
    x = 419,765,987,342.25/423,010
  6. Step 6: Final answer
    x = 992,331.12

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