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Finding the Third Proportional to 211,319 and 498,335.50

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Solution

The third proportional to 211,319 and 498,335.50 is: 1,175,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,319 : 498,335.50 = 498,335.50 : x
  2. Step 2: Convert to fraction form
    211,319/498,335.50 = 498,335.50/x
  3. Step 3: Cross multiply
    211,319x = 498,335.50 × 498,335.50
  4. Step 4: Simplify right side
    211,319x = 248,338,270,560.25
  5. Step 5: Solve for x
    x = 248,338,270,560.25/211,319
  6. Step 6: Final answer
    x = 1,175,181.93

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.