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Finding the Third Proportional to 590,661 and 885,799.50

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Solution

The third proportional to 590,661 and 885,799.50 is: 1,328,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,661 : 885,799.50 = 885,799.50 : x
  2. Step 2: Convert to fraction form
    590,661/885,799.50 = 885,799.50/x
  3. Step 3: Cross multiply
    590,661x = 885,799.50 × 885,799.50
  4. Step 4: Simplify right side
    590,661x = 784,640,754,200.25
  5. Step 5: Solve for x
    x = 784,640,754,200.25/590,661
  6. Step 6: Final answer
    x = 1,328,411.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.