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Finding the Third Proportional to 475,781.50 and 648,044

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Solution

The third proportional to 475,781.50 and 648,044 is: 882,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,781.50 : 648,044 = 648,044 : x
  2. Step 2: Convert to fraction form
    475,781.50/648,044 = 648,044/x
  3. Step 3: Cross multiply
    475,781.50x = 648,044 × 648,044
  4. Step 4: Simplify right side
    475,781.50x = 419,961,025,936
  5. Step 5: Solve for x
    x = 419,961,025,936/475,781.50
  6. Step 6: Final answer
    x = 882,676.24

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.