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Finding the Third Proportional to 364,005 and 551,098.50

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Solution

The third proportional to 364,005 and 551,098.50 is: 834,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,005 : 551,098.50 = 551,098.50 : x
  2. Step 2: Convert to fraction form
    364,005/551,098.50 = 551,098.50/x
  3. Step 3: Cross multiply
    364,005x = 551,098.50 × 551,098.50
  4. Step 4: Simplify right side
    364,005x = 303,709,556,702.25
  5. Step 5: Solve for x
    x = 303,709,556,702.25/364,005
  6. Step 6: Final answer
    x = 834,355.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.