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Finding the Third Proportional to 346,306.50 and 501,108.75

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Solution

The third proportional to 346,306.50 and 501,108.75 is: 725,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,306.50 : 501,108.75 = 501,108.75 : x
  2. Step 2: Convert to fraction form
    346,306.50/501,108.75 = 501,108.75/x
  3. Step 3: Cross multiply
    346,306.50x = 501,108.75 × 501,108.75
  4. Step 4: Simplify right side
    346,306.50x = 251,109,979,326.56
  5. Step 5: Solve for x
    x = 251,109,979,326.56/346,306.50
  6. Step 6: Final answer
    x = 725,109.06

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.