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Finding the Third Proportional to 295,062.75 and 432,908.25

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Solution

The third proportional to 295,062.75 and 432,908.25 is: 635,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,062.75 : 432,908.25 = 432,908.25 : x
  2. Step 2: Convert to fraction form
    295,062.75/432,908.25 = 432,908.25/x
  3. Step 3: Cross multiply
    295,062.75x = 432,908.25 × 432,908.25
  4. Step 4: Simplify right side
    295,062.75x = 187,409,552,918.06
  5. Step 5: Solve for x
    x = 187,409,552,918.06/295,062.75
  6. Step 6: Final answer
    x = 635,151.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.