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Finding the Third Proportional to 344,084 and 712,358

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Solution

The third proportional to 344,084 and 712,358 is: 1,474,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,084 : 712,358 = 712,358 : x
  2. Step 2: Convert to fraction form
    344,084/712,358 = 712,358/x
  3. Step 3: Cross multiply
    344,084x = 712,358 × 712,358
  4. Step 4: Simplify right side
    344,084x = 507,453,920,164
  5. Step 5: Solve for x
    x = 507,453,920,164/344,084
  6. Step 6: Final answer
    x = 1,474,796.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.