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Finding the Third Proportional to 590,259 and 1,304,565

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Solution

The third proportional to 590,259 and 1,304,565 is: 2,883,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,259 : 1,304,565 = 1,304,565 : x
  2. Step 2: Convert to fraction form
    590,259/1,304,565 = 1,304,565/x
  3. Step 3: Cross multiply
    590,259x = 1,304,565 × 1,304,565
  4. Step 4: Simplify right side
    590,259x = 1,701,889,839,225
  5. Step 5: Solve for x
    x = 1,701,889,839,225/590,259
  6. Step 6: Final answer
    x = 2,883,293.33

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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.