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Finding the Third Proportional to 590,626.69 and 942,004.69

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Solution

The third proportional to 590,626.69 and 942,004.69 is: 1,502,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,626.69 : 942,004.69 = 942,004.69 : x
  2. Step 2: Convert to fraction form
    590,626.69/942,004.69 = 942,004.69/x
  3. Step 3: Cross multiply
    590,626.69x = 942,004.69 × 942,004.69
  4. Step 4: Simplify right side
    590,626.69x = 887,372,831,271.97
  5. Step 5: Solve for x
    x = 887,372,831,271.97/590,626.69
  6. Step 6: Final answer
    x = 1,502,425.90

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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.