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Finding the Third Proportional to 701,345.25 and 1,533,903.75

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Solution

The third proportional to 701,345.25 and 1,533,903.75 is: 3,354,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,345.25 : 1,533,903.75 = 1,533,903.75 : x
  2. Step 2: Convert to fraction form
    701,345.25/1,533,903.75 = 1,533,903.75/x
  3. Step 3: Cross multiply
    701,345.25x = 1,533,903.75 × 1,533,903.75
  4. Step 4: Simplify right side
    701,345.25x = 2,352,860,714,264.06
  5. Step 5: Solve for x
    x = 2,352,860,714,264.06/701,345.25
  6. Step 6: Final answer
    x = 3,354,782.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.