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Finding the Third Proportional to 591,133 and 917,194.50

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Solution

The third proportional to 591,133 and 917,194.50 is: 1,423,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,133 : 917,194.50 = 917,194.50 : x
  2. Step 2: Convert to fraction form
    591,133/917,194.50 = 917,194.50/x
  3. Step 3: Cross multiply
    591,133x = 917,194.50 × 917,194.50
  4. Step 4: Simplify right side
    591,133x = 841,245,750,830.25
  5. Step 5: Solve for x
    x = 841,245,750,830.25/591,133
  6. Step 6: Final answer
    x = 1,423,107.41

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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.