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Finding the Third Proportional to 399,114 and 597,098.25

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Solution

The third proportional to 399,114 and 597,098.25 is: 893,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,114 : 597,098.25 = 597,098.25 : x
  2. Step 2: Convert to fraction form
    399,114/597,098.25 = 597,098.25/x
  3. Step 3: Cross multiply
    399,114x = 597,098.25 × 597,098.25
  4. Step 4: Simplify right side
    399,114x = 356,526,320,153.06
  5. Step 5: Solve for x
    x = 356,526,320,153.06/399,114
  6. Step 6: Final answer
    x = 893,294.45

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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.