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Finding the Third Proportional to 591,187.50 and 917,145

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Solution

The third proportional to 591,187.50 and 917,145 is: 1,422,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,187.50 : 917,145 = 917,145 : x
  2. Step 2: Convert to fraction form
    591,187.50/917,145 = 917,145/x
  3. Step 3: Cross multiply
    591,187.50x = 917,145 × 917,145
  4. Step 4: Simplify right side
    591,187.50x = 841,154,951,025
  5. Step 5: Solve for x
    x = 841,154,951,025/591,187.50
  6. Step 6: Final answer
    x = 1,422,822.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.