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Finding the Third Proportional to 254,637 and 553,081.50

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Solution

The third proportional to 254,637 and 553,081.50 is: 1,201,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,637 : 553,081.50 = 553,081.50 : x
  2. Step 2: Convert to fraction form
    254,637/553,081.50 = 553,081.50/x
  3. Step 3: Cross multiply
    254,637x = 553,081.50 × 553,081.50
  4. Step 4: Simplify right side
    254,637x = 305,899,145,642.25
  5. Step 5: Solve for x
    x = 305,899,145,642.25/254,637
  6. Step 6: Final answer
    x = 1,201,314.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.