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Finding the Third Proportional to 347,064 and 524,967

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Solution

The third proportional to 347,064 and 524,967 is: 794,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,064 : 524,967 = 524,967 : x
  2. Step 2: Convert to fraction form
    347,064/524,967 = 524,967/x
  3. Step 3: Cross multiply
    347,064x = 524,967 × 524,967
  4. Step 4: Simplify right side
    347,064x = 275,590,351,089
  5. Step 5: Solve for x
    x = 275,590,351,089/347,064
  6. Step 6: Final answer
    x = 794,062.05

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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.