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Finding the Third Proportional to 398,857 and 596,929.50

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Solution

The third proportional to 398,857 and 596,929.50 is: 893,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,857 : 596,929.50 = 596,929.50 : x
  2. Step 2: Convert to fraction form
    398,857/596,929.50 = 596,929.50/x
  3. Step 3: Cross multiply
    398,857x = 596,929.50 × 596,929.50
  4. Step 4: Simplify right side
    398,857x = 356,324,827,970.25
  5. Step 5: Solve for x
    x = 356,324,827,970.25/398,857
  6. Step 6: Final answer
    x = 893,364.86

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