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Finding the Third Proportional to 525,030 and 814,491.75

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Solution

The third proportional to 525,030 and 814,491.75 is: 1,263,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,030 : 814,491.75 = 814,491.75 : x
  2. Step 2: Convert to fraction form
    525,030/814,491.75 = 814,491.75/x
  3. Step 3: Cross multiply
    525,030x = 814,491.75 × 814,491.75
  4. Step 4: Simplify right side
    525,030x = 663,396,810,818.06
  5. Step 5: Solve for x
    x = 663,396,810,818.06/525,030
  6. Step 6: Final answer
    x = 1,263,540.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.