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Finding the Third Proportional to 457,380 and 1,214,041.50

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Solution

The third proportional to 457,380 and 1,214,041.50 is: 3,222,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,380 : 1,214,041.50 = 1,214,041.50 : x
  2. Step 2: Convert to fraction form
    457,380/1,214,041.50 = 1,214,041.50/x
  3. Step 3: Cross multiply
    457,380x = 1,214,041.50 × 1,214,041.50
  4. Step 4: Simplify right side
    457,380x = 1,473,896,763,722.25
  5. Step 5: Solve for x
    x = 1,473,896,763,722.25/457,380
  6. Step 6: Final answer
    x = 3,222,477.51

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.