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Finding the Third Proportional to 517,817.25 and 1,071,580.50

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Solution

The third proportional to 517,817.25 and 1,071,580.50 is: 2,217,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,817.25 : 1,071,580.50 = 1,071,580.50 : x
  2. Step 2: Convert to fraction form
    517,817.25/1,071,580.50 = 1,071,580.50/x
  3. Step 3: Cross multiply
    517,817.25x = 1,071,580.50 × 1,071,580.50
  4. Step 4: Simplify right side
    517,817.25x = 1,148,284,767,980.25
  5. Step 5: Solve for x
    x = 1,148,284,767,980.25/517,817.25
  6. Step 6: Final answer
    x = 2,217,548.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.