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Finding the Third Proportional to 291,478.50 and 636,957

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Solution

The third proportional to 291,478.50 and 636,957 is: 1,391,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,478.50 : 636,957 = 636,957 : x
  2. Step 2: Convert to fraction form
    291,478.50/636,957 = 636,957/x
  3. Step 3: Cross multiply
    291,478.50x = 636,957 × 636,957
  4. Step 4: Simplify right side
    291,478.50x = 405,714,219,849
  5. Step 5: Solve for x
    x = 405,714,219,849/291,478.50
  6. Step 6: Final answer
    x = 1,391,918.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.