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Finding the Third Proportional to 575,849.25 and 1,345,258.13

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Solution

The third proportional to 575,849.25 and 1,345,258.13 is: 3,142,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,849.25 : 1,345,258.13 = 1,345,258.13 : x
  2. Step 2: Convert to fraction form
    575,849.25/1,345,258.13 = 1,345,258.13/x
  3. Step 3: Cross multiply
    575,849.25x = 1,345,258.13 × 1,345,258.13
  4. Step 4: Simplify right side
    575,849.25x = 1,809,719,422,878.52
  5. Step 5: Solve for x
    x = 1,809,719,422,878.52/575,849.25
  6. Step 6: Final answer
    x = 3,142,696.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.