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Finding the Third Proportional to 492,041.25 and 735,500.25

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Solution

The third proportional to 492,041.25 and 735,500.25 is: 1,099,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,041.25 : 735,500.25 = 735,500.25 : x
  2. Step 2: Convert to fraction form
    492,041.25/735,500.25 = 735,500.25/x
  3. Step 3: Cross multiply
    492,041.25x = 735,500.25 × 735,500.25
  4. Step 4: Simplify right side
    492,041.25x = 540,960,617,750.06
  5. Step 5: Solve for x
    x = 540,960,617,750.06/492,041.25
  6. Step 6: Final answer
    x = 1,099,421.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.