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Finding the Third Proportional to 269,913 and 590,673.75

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Solution

The third proportional to 269,913 and 590,673.75 is: 1,292,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,913 : 590,673.75 = 590,673.75 : x
  2. Step 2: Convert to fraction form
    269,913/590,673.75 = 590,673.75/x
  3. Step 3: Cross multiply
    269,913x = 590,673.75 × 590,673.75
  4. Step 4: Simplify right side
    269,913x = 348,895,478,939.06
  5. Step 5: Solve for x
    x = 348,895,478,939.06/269,913
  6. Step 6: Final answer
    x = 1,292,621.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.