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Finding the Third Proportional to 590,430.75 and 939,948.75

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Solution

The third proportional to 590,430.75 and 939,948.75 is: 1,496,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,430.75 : 939,948.75 = 939,948.75 : x
  2. Step 2: Convert to fraction form
    590,430.75/939,948.75 = 939,948.75/x
  3. Step 3: Cross multiply
    590,430.75x = 939,948.75 × 939,948.75
  4. Step 4: Simplify right side
    590,430.75x = 883,503,652,626.56
  5. Step 5: Solve for x
    x = 883,503,652,626.56/590,430.75
  6. Step 6: Final answer
    x = 1,496,371.34

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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.