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Finding the Third Proportional to 311,875.50 and 683,415

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Solution

The third proportional to 311,875.50 and 683,415 is: 1,497,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,875.50 : 683,415 = 683,415 : x
  2. Step 2: Convert to fraction form
    311,875.50/683,415 = 683,415/x
  3. Step 3: Cross multiply
    311,875.50x = 683,415 × 683,415
  4. Step 4: Simplify right side
    311,875.50x = 467,056,062,225
  5. Step 5: Solve for x
    x = 467,056,062,225/311,875.50
  6. Step 6: Final answer
    x = 1,497,572.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.