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Finding the Third Proportional to 534,357 and 836,527.50

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Solution

The third proportional to 534,357 and 836,527.50 is: 1,309,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,357 : 836,527.50 = 836,527.50 : x
  2. Step 2: Convert to fraction form
    534,357/836,527.50 = 836,527.50/x
  3. Step 3: Cross multiply
    534,357x = 836,527.50 × 836,527.50
  4. Step 4: Simplify right side
    534,357x = 699,778,258,256.25
  5. Step 5: Solve for x
    x = 699,778,258,256.25/534,357
  6. Step 6: Final answer
    x = 1,309,570.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.