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Finding the Third Proportional to 590,326.50 and 1,304,693.25

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Solution

The third proportional to 590,326.50 and 1,304,693.25 is: 2,883,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,326.50 : 1,304,693.25 = 1,304,693.25 : x
  2. Step 2: Convert to fraction form
    590,326.50/1,304,693.25 = 1,304,693.25/x
  3. Step 3: Cross multiply
    590,326.50x = 1,304,693.25 × 1,304,693.25
  4. Step 4: Simplify right side
    590,326.50x = 1,702,224,476,595.56
  5. Step 5: Solve for x
    x = 1,702,224,476,595.56/590,326.50
  6. Step 6: Final answer
    x = 2,883,530.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.