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Finding the Third Proportional to 347,060 and 524,961

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Solution

The third proportional to 347,060 and 524,961 is: 794,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,060 : 524,961 = 524,961 : x
  2. Step 2: Convert to fraction form
    347,060/524,961 = 524,961/x
  3. Step 3: Cross multiply
    347,060x = 524,961 × 524,961
  4. Step 4: Simplify right side
    347,060x = 275,584,051,521
  5. Step 5: Solve for x
    x = 275,584,051,521/347,060
  6. Step 6: Final answer
    x = 794,053.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.