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Finding the Third Proportional to 590,517 and 1,293,253.50

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Solution

The third proportional to 590,517 and 1,293,253.50 is: 2,832,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,517 : 1,293,253.50 = 1,293,253.50 : x
  2. Step 2: Convert to fraction form
    590,517/1,293,253.50 = 1,293,253.50/x
  3. Step 3: Cross multiply
    590,517x = 1,293,253.50 × 1,293,253.50
  4. Step 4: Simplify right side
    590,517x = 1,672,504,615,262.25
  5. Step 5: Solve for x
    x = 1,672,504,615,262.25/590,517
  6. Step 6: Final answer
    x = 2,832,271.75

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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.