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Finding the Third Proportional to 294,395.50 and 453,136

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Solution

The third proportional to 294,395.50 and 453,136 is: 697,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,395.50 : 453,136 = 453,136 : x
  2. Step 2: Convert to fraction form
    294,395.50/453,136 = 453,136/x
  3. Step 3: Cross multiply
    294,395.50x = 453,136 × 453,136
  4. Step 4: Simplify right side
    294,395.50x = 205,332,234,496
  5. Step 5: Solve for x
    x = 205,332,234,496/294,395.50
  6. Step 6: Final answer
    x = 697,470.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.