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Finding the Third Proportional to 265,194 and 572,396.63

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Solution

The third proportional to 265,194 and 572,396.63 is: 1,235,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,194 : 572,396.63 = 572,396.63 : x
  2. Step 2: Convert to fraction form
    265,194/572,396.63 = 572,396.63/x
  3. Step 3: Cross multiply
    265,194x = 572,396.63 × 572,396.63
  4. Step 4: Simplify right side
    265,194x = 327,637,896,311.39
  5. Step 5: Solve for x
    x = 327,637,896,311.39/265,194
  6. Step 6: Final answer
    x = 1,235,464.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.