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Finding the Third Proportional to 472,966.50 and 734,364

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Solution

The third proportional to 472,966.50 and 734,364 is: 1,140,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,966.50 : 734,364 = 734,364 : x
  2. Step 2: Convert to fraction form
    472,966.50/734,364 = 734,364/x
  3. Step 3: Cross multiply
    472,966.50x = 734,364 × 734,364
  4. Step 4: Simplify right side
    472,966.50x = 539,290,484,496
  5. Step 5: Solve for x
    x = 539,290,484,496/472,966.50
  6. Step 6: Final answer
    x = 1,140,229.77

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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.