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Finding the Third Proportional to 351,946 and 566,655

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Solution

The third proportional to 351,946 and 566,655 is: 912,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,946 : 566,655 = 566,655 : x
  2. Step 2: Convert to fraction form
    351,946/566,655 = 566,655/x
  3. Step 3: Cross multiply
    351,946x = 566,655 × 566,655
  4. Step 4: Simplify right side
    351,946x = 321,097,889,025
  5. Step 5: Solve for x
    x = 321,097,889,025/351,946
  6. Step 6: Final answer
    x = 912,349.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.