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Finding the Third Proportional to 300,927 and 457,300.50

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Solution

The third proportional to 300,927 and 457,300.50 is: 694,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,927 : 457,300.50 = 457,300.50 : x
  2. Step 2: Convert to fraction form
    300,927/457,300.50 = 457,300.50/x
  3. Step 3: Cross multiply
    300,927x = 457,300.50 × 457,300.50
  4. Step 4: Simplify right side
    300,927x = 209,123,747,300.25
  5. Step 5: Solve for x
    x = 209,123,747,300.25/300,927
  6. Step 6: Final answer
    x = 694,931.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.