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Finding the Third Proportional to 265,967.30 and 577,145.88

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Solution

The third proportional to 265,967.30 and 577,145.88 is: 1,252,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,967.30 : 577,145.88 = 577,145.88 : x
  2. Step 2: Convert to fraction form
    265,967.30/577,145.88 = 577,145.88/x
  3. Step 3: Cross multiply
    265,967.30x = 577,145.88 × 577,145.88
  4. Step 4: Simplify right side
    265,967.30x = 333,097,370,047.42
  5. Step 5: Solve for x
    x = 333,097,370,047.42/265,967.30
  6. Step 6: Final answer
    x = 1,252,399.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.