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Finding the Third Proportional to 604,512.84 and 970,703.86

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Solution

The third proportional to 604,512.84 and 970,703.86 is: 1,558,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,512.84 : 970,703.86 = 970,703.86 : x
  2. Step 2: Convert to fraction form
    604,512.84/970,703.86 = 970,703.86/x
  3. Step 3: Cross multiply
    604,512.84x = 970,703.86 × 970,703.86
  4. Step 4: Simplify right side
    604,512.84x = 942,265,982,605.52
  5. Step 5: Solve for x
    x = 942,265,982,605.52/604,512.84
  6. Step 6: Final answer
    x = 1,558,719.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.