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Finding the Third Proportional to 313,570 and 740,084

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Solution

The third proportional to 313,570 and 740,084 is: 1,746,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,570 : 740,084 = 740,084 : x
  2. Step 2: Convert to fraction form
    313,570/740,084 = 740,084/x
  3. Step 3: Cross multiply
    313,570x = 740,084 × 740,084
  4. Step 4: Simplify right side
    313,570x = 547,724,327,056
  5. Step 5: Solve for x
    x = 547,724,327,056/313,570
  6. Step 6: Final answer
    x = 1,746,737.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.