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Finding the Third Proportional to 476,573.25 and 742,994.25

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Solution

The third proportional to 476,573.25 and 742,994.25 is: 1,158,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,573.25 : 742,994.25 = 742,994.25 : x
  2. Step 2: Convert to fraction form
    476,573.25/742,994.25 = 742,994.25/x
  3. Step 3: Cross multiply
    476,573.25x = 742,994.25 × 742,994.25
  4. Step 4: Simplify right side
    476,573.25x = 552,040,455,533.06
  5. Step 5: Solve for x
    x = 552,040,455,533.06/476,573.25
  6. Step 6: Final answer
    x = 1,158,353.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.