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Finding the Third Proportional to 590,230.13 and 865,977.75

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Solution

The third proportional to 590,230.13 and 865,977.75 is: 1,270,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,230.13 : 865,977.75 = 865,977.75 : x
  2. Step 2: Convert to fraction form
    590,230.13/865,977.75 = 865,977.75/x
  3. Step 3: Cross multiply
    590,230.13x = 865,977.75 × 865,977.75
  4. Step 4: Simplify right side
    590,230.13x = 749,917,463,495.06
  5. Step 5: Solve for x
    x = 749,917,463,495.06/590,230.13
  6. Step 6: Final answer
    x = 1,270,550.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.