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Finding the Third Proportional to 737,415 and 1,009,201.50

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Solution

The third proportional to 737,415 and 1,009,201.50 is: 1,381,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,415 : 1,009,201.50 = 1,009,201.50 : x
  2. Step 2: Convert to fraction form
    737,415/1,009,201.50 = 1,009,201.50/x
  3. Step 3: Cross multiply
    737,415x = 1,009,201.50 × 1,009,201.50
  4. Step 4: Simplify right side
    737,415x = 1,018,487,667,602.25
  5. Step 5: Solve for x
    x = 1,018,487,667,602.25/737,415
  6. Step 6: Final answer
    x = 1,381,159.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.