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Finding the Third Proportional to 483,693.75 and 725,458.50

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Solution

The third proportional to 483,693.75 and 725,458.50 is: 1,088,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,693.75 : 725,458.50 = 725,458.50 : x
  2. Step 2: Convert to fraction form
    483,693.75/725,458.50 = 725,458.50/x
  3. Step 3: Cross multiply
    483,693.75x = 725,458.50 × 725,458.50
  4. Step 4: Simplify right side
    483,693.75x = 526,290,035,222.25
  5. Step 5: Solve for x
    x = 526,290,035,222.25/483,693.75
  6. Step 6: Final answer
    x = 1,088,064.58

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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.