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Finding the Third Proportional to 303,123 and 452,812.50

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Solution

The third proportional to 303,123 and 452,812.50 is: 676,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,123 : 452,812.50 = 452,812.50 : x
  2. Step 2: Convert to fraction form
    303,123/452,812.50 = 452,812.50/x
  3. Step 3: Cross multiply
    303,123x = 452,812.50 × 452,812.50
  4. Step 4: Simplify right side
    303,123x = 205,039,160,156.25
  5. Step 5: Solve for x
    x = 205,039,160,156.25/303,123
  6. Step 6: Final answer
    x = 676,422.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.