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Finding the Third Proportional to 734,804.25 and 1,113,281.25

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Solution

The third proportional to 734,804.25 and 1,113,281.25 is: 1,686,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,804.25 : 1,113,281.25 = 1,113,281.25 : x
  2. Step 2: Convert to fraction form
    734,804.25/1,113,281.25 = 1,113,281.25/x
  3. Step 3: Cross multiply
    734,804.25x = 1,113,281.25 × 1,113,281.25
  4. Step 4: Simplify right side
    734,804.25x = 1,239,395,141,601.56
  5. Step 5: Solve for x
    x = 1,239,395,141,601.56/734,804.25
  6. Step 6: Final answer
    x = 1,686,701.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.