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Finding the Third Proportional to 295,594.31 and 646,398.98

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Solution

The third proportional to 295,594.31 and 646,398.98 is: 1,413,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,594.31 : 646,398.98 = 646,398.98 : x
  2. Step 2: Convert to fraction form
    295,594.31/646,398.98 = 646,398.98/x
  3. Step 3: Cross multiply
    295,594.31x = 646,398.98 × 646,398.98
  4. Step 4: Simplify right side
    295,594.31x = 417,831,647,001.03
  5. Step 5: Solve for x
    x = 417,831,647,001.03/295,594.31
  6. Step 6: Final answer
    x = 1,413,530.74

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