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Finding the Third Proportional to 596,810.25 and 1,163,164.50

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Solution

The third proportional to 596,810.25 and 1,163,164.50 is: 2,266,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,810.25 : 1,163,164.50 = 1,163,164.50 : x
  2. Step 2: Convert to fraction form
    596,810.25/1,163,164.50 = 1,163,164.50/x
  3. Step 3: Cross multiply
    596,810.25x = 1,163,164.50 × 1,163,164.50
  4. Step 4: Simplify right side
    596,810.25x = 1,352,951,654,060.25
  5. Step 5: Solve for x
    x = 1,352,951,654,060.25/596,810.25
  6. Step 6: Final answer
    x = 2,266,971.21

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.