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Finding the Third Proportional to 295,254 and 433,039

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Solution

The third proportional to 295,254 and 433,039 is: 635,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,254 : 433,039 = 433,039 : x
  2. Step 2: Convert to fraction form
    295,254/433,039 = 433,039/x
  3. Step 3: Cross multiply
    295,254x = 433,039 × 433,039
  4. Step 4: Simplify right side
    295,254x = 187,522,775,521
  5. Step 5: Solve for x
    x = 187,522,775,521/295,254
  6. Step 6: Final answer
    x = 635,123.57

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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.