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Finding the Third Proportional to 700,147.50 and 1,535,833.50

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Solution

The third proportional to 700,147.50 and 1,535,833.50 is: 3,368,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,147.50 : 1,535,833.50 = 1,535,833.50 : x
  2. Step 2: Convert to fraction form
    700,147.50/1,535,833.50 = 1,535,833.50/x
  3. Step 3: Cross multiply
    700,147.50x = 1,535,833.50 × 1,535,833.50
  4. Step 4: Simplify right side
    700,147.50x = 2,358,784,539,722.25
  5. Step 5: Solve for x
    x = 2,358,784,539,722.25/700,147.50
  6. Step 6: Final answer
    x = 3,368,982.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.