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Finding the Third Proportional to 269,913.38 and 590,674.50

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Solution

The third proportional to 269,913.38 and 590,674.50 is: 1,292,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,913.38 : 590,674.50 = 590,674.50 : x
  2. Step 2: Convert to fraction form
    269,913.38/590,674.50 = 590,674.50/x
  3. Step 3: Cross multiply
    269,913.38x = 590,674.50 × 590,674.50
  4. Step 4: Simplify right side
    269,913.38x = 348,896,364,950.25
  5. Step 5: Solve for x
    x = 348,896,364,950.25/269,913.38
  6. Step 6: Final answer
    x = 1,292,623.48

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Why These Related Problems?

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