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Finding the Third Proportional to 408,147 and 643,522.50

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Solution

The third proportional to 408,147 and 643,522.50 is: 1,014,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,147 : 643,522.50 = 643,522.50 : x
  2. Step 2: Convert to fraction form
    408,147/643,522.50 = 643,522.50/x
  3. Step 3: Cross multiply
    408,147x = 643,522.50 × 643,522.50
  4. Step 4: Simplify right side
    408,147x = 414,121,208,006.25
  5. Step 5: Solve for x
    x = 414,121,208,006.25/408,147
  6. Step 6: Final answer
    x = 1,014,637.39

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.