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Finding the Third Proportional to 535,254.75 and 1,123,054.50

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Solution

The third proportional to 535,254.75 and 1,123,054.50 is: 2,356,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,254.75 : 1,123,054.50 = 1,123,054.50 : x
  2. Step 2: Convert to fraction form
    535,254.75/1,123,054.50 = 1,123,054.50/x
  3. Step 3: Cross multiply
    535,254.75x = 1,123,054.50 × 1,123,054.50
  4. Step 4: Simplify right side
    535,254.75x = 1,261,251,409,970.25
  5. Step 5: Solve for x
    x = 1,261,251,409,970.25/535,254.75
  6. Step 6: Final answer
    x = 2,356,357.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.