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Finding the Third Proportional to 590,239 and 1,304,522.75

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Solution

The third proportional to 590,239 and 1,304,522.75 is: 2,883,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,239 : 1,304,522.75 = 1,304,522.75 : x
  2. Step 2: Convert to fraction form
    590,239/1,304,522.75 = 1,304,522.75/x
  3. Step 3: Cross multiply
    590,239x = 1,304,522.75 × 1,304,522.75
  4. Step 4: Simplify right side
    590,239x = 1,701,779,605,267.56
  5. Step 5: Solve for x
    x = 1,701,779,605,267.56/590,239
  6. Step 6: Final answer
    x = 2,883,204.27

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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.