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Finding the Third Proportional to 433,095.75 and 893,652.75

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Solution

The third proportional to 433,095.75 and 893,652.75 is: 1,843,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,095.75 : 893,652.75 = 893,652.75 : x
  2. Step 2: Convert to fraction form
    433,095.75/893,652.75 = 893,652.75/x
  3. Step 3: Cross multiply
    433,095.75x = 893,652.75 × 893,652.75
  4. Step 4: Simplify right side
    433,095.75x = 798,615,237,582.56
  5. Step 5: Solve for x
    x = 798,615,237,582.56/433,095.75
  6. Step 6: Final answer
    x = 1,843,969.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.