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Finding the Third Proportional to 472,999.50 and 734,373

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Solution

The third proportional to 472,999.50 and 734,373 is: 1,140,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,999.50 : 734,373 = 734,373 : x
  2. Step 2: Convert to fraction form
    472,999.50/734,373 = 734,373/x
  3. Step 3: Cross multiply
    472,999.50x = 734,373 × 734,373
  4. Step 4: Simplify right side
    472,999.50x = 539,303,703,129
  5. Step 5: Solve for x
    x = 539,303,703,129/472,999.50
  6. Step 6: Final answer
    x = 1,140,178.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.