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Finding the Third Proportional to 597,550.50 and 914,499

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Solution

The third proportional to 597,550.50 and 914,499 is: 1,399,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,550.50 : 914,499 = 914,499 : x
  2. Step 2: Convert to fraction form
    597,550.50/914,499 = 914,499/x
  3. Step 3: Cross multiply
    597,550.50x = 914,499 × 914,499
  4. Step 4: Simplify right side
    597,550.50x = 836,308,421,001
  5. Step 5: Solve for x
    x = 836,308,421,001/597,550.50
  6. Step 6: Final answer
    x = 1,399,561.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.