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Finding the Third Proportional to 617,633 and 922,813.50

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Solution

The third proportional to 617,633 and 922,813.50 is: 1,378,787.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,633 : 922,813.50 = 922,813.50 : x
  2. Step 2: Convert to fraction form
    617,633/922,813.50 = 922,813.50/x
  3. Step 3: Cross multiply
    617,633x = 922,813.50 × 922,813.50
  4. Step 4: Simplify right side
    617,633x = 851,584,755,782.25
  5. Step 5: Solve for x
    x = 851,584,755,782.25/617,633
  6. Step 6: Final answer
    x = 1,378,787.66

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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.