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Finding the Third Proportional to 702,624.50 and 1,052,016

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Solution

The third proportional to 702,624.50 and 1,052,016 is: 1,575,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,624.50 : 1,052,016 = 1,052,016 : x
  2. Step 2: Convert to fraction form
    702,624.50/1,052,016 = 1,052,016/x
  3. Step 3: Cross multiply
    702,624.50x = 1,052,016 × 1,052,016
  4. Step 4: Simplify right side
    702,624.50x = 1,106,737,664,256
  5. Step 5: Solve for x
    x = 1,106,737,664,256/702,624.50
  6. Step 6: Final answer
    x = 1,575,148.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.