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Finding the Third Proportional to 270,094.50 and 501,643.13

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Solution

The third proportional to 270,094.50 and 501,643.13 is: 931,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,094.50 : 501,643.13 = 501,643.13 : x
  2. Step 2: Convert to fraction form
    270,094.50/501,643.13 = 501,643.13/x
  3. Step 3: Cross multiply
    270,094.50x = 501,643.13 × 501,643.13
  4. Step 4: Simplify right side
    270,094.50x = 251,645,824,859.77
  5. Step 5: Solve for x
    x = 251,645,824,859.77/270,094.50
  6. Step 6: Final answer
    x = 931,695.48

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.