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Finding the Third Proportional to 398,356.50 and 609,654

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Solution

The third proportional to 398,356.50 and 609,654 is: 933,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,356.50 : 609,654 = 609,654 : x
  2. Step 2: Convert to fraction form
    398,356.50/609,654 = 609,654/x
  3. Step 3: Cross multiply
    398,356.50x = 609,654 × 609,654
  4. Step 4: Simplify right side
    398,356.50x = 371,677,999,716
  5. Step 5: Solve for x
    x = 371,677,999,716/398,356.50
  6. Step 6: Final answer
    x = 933,028.58

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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.