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Finding the Third Proportional to 402,297 and 596,481.50

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Solution

The third proportional to 402,297 and 596,481.50 is: 884,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,297 : 596,481.50 = 596,481.50 : x
  2. Step 2: Convert to fraction form
    402,297/596,481.50 = 596,481.50/x
  3. Step 3: Cross multiply
    402,297x = 596,481.50 × 596,481.50
  4. Step 4: Simplify right side
    402,297x = 355,790,179,842.25
  5. Step 5: Solve for x
    x = 355,790,179,842.25/402,297
  6. Step 6: Final answer
    x = 884,396.80

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.