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Finding the Third Proportional to 399,736.13 and 597,705.75

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Solution

The third proportional to 399,736.13 and 597,705.75 is: 893,719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,736.13 : 597,705.75 = 597,705.75 : x
  2. Step 2: Convert to fraction form
    399,736.13/597,705.75 = 597,705.75/x
  3. Step 3: Cross multiply
    399,736.13x = 597,705.75 × 597,705.75
  4. Step 4: Simplify right side
    399,736.13x = 357,252,163,583.06
  5. Step 5: Solve for x
    x = 357,252,163,583.06/399,736.13
  6. Step 6: Final answer
    x = 893,719.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.