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Finding the Third Proportional to 590,433.25 and 939,952.88

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Solution

The third proportional to 590,433.25 and 939,952.88 is: 1,496,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,433.25 : 939,952.88 = 939,952.88 : x
  2. Step 2: Convert to fraction form
    590,433.25/939,952.88 = 939,952.88/x
  3. Step 3: Cross multiply
    590,433.25x = 939,952.88 × 939,952.88
  4. Step 4: Simplify right side
    590,433.25x = 883,511,407,220.77
  5. Step 5: Solve for x
    x = 883,511,407,220.77/590,433.25
  6. Step 6: Final answer
    x = 1,496,378.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.