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Finding the Third Proportional to 295,710.75 and 612,420.75

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Solution

The third proportional to 295,710.75 and 612,420.75 is: 1,268,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,710.75 : 612,420.75 = 612,420.75 : x
  2. Step 2: Convert to fraction form
    295,710.75/612,420.75 = 612,420.75/x
  3. Step 3: Cross multiply
    295,710.75x = 612,420.75 × 612,420.75
  4. Step 4: Simplify right side
    295,710.75x = 375,059,175,030.56
  5. Step 5: Solve for x
    x = 375,059,175,030.56/295,710.75
  6. Step 6: Final answer
    x = 1,268,331.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.