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Finding the Third Proportional to 347,358 and 519,576

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Solution

The third proportional to 347,358 and 519,576 is: 777,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,358 : 519,576 = 519,576 : x
  2. Step 2: Convert to fraction form
    347,358/519,576 = 519,576/x
  3. Step 3: Cross multiply
    347,358x = 519,576 × 519,576
  4. Step 4: Simplify right side
    347,358x = 269,959,219,776
  5. Step 5: Solve for x
    x = 269,959,219,776/347,358
  6. Step 6: Final answer
    x = 777,178.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.