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Finding the Third Proportional to 262,054.88 and 561,448.50

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Solution

The third proportional to 262,054.88 and 561,448.50 is: 1,202,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,054.88 : 561,448.50 = 561,448.50 : x
  2. Step 2: Convert to fraction form
    262,054.88/561,448.50 = 561,448.50/x
  3. Step 3: Cross multiply
    262,054.88x = 561,448.50 × 561,448.50
  4. Step 4: Simplify right side
    262,054.88x = 315,224,418,152.25
  5. Step 5: Solve for x
    x = 315,224,418,152.25/262,054.88
  6. Step 6: Final answer
    x = 1,202,894.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.