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Finding the Third Proportional to 272,292.05 and 591,810.05

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Solution

The third proportional to 272,292.05 and 591,810.05 is: 1,286,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,292.05 : 591,810.05 = 591,810.05 : x
  2. Step 2: Convert to fraction form
    272,292.05/591,810.05 = 591,810.05/x
  3. Step 3: Cross multiply
    272,292.05x = 591,810.05 × 591,810.05
  4. Step 4: Simplify right side
    272,292.05x = 350,239,131,582.19
  5. Step 5: Solve for x
    x = 350,239,131,582.19/272,292.05
  6. Step 6: Final answer
    x = 1,286,262.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.