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Finding the Third Proportional to 254,184 and 501,988.50

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Solution

The third proportional to 254,184 and 501,988.50 is: 991,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,184 : 501,988.50 = 501,988.50 : x
  2. Step 2: Convert to fraction form
    254,184/501,988.50 = 501,988.50/x
  3. Step 3: Cross multiply
    254,184x = 501,988.50 × 501,988.50
  4. Step 4: Simplify right side
    254,184x = 251,992,454,132.25
  5. Step 5: Solve for x
    x = 251,992,454,132.25/254,184
  6. Step 6: Final answer
    x = 991,378.11

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.