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Finding the Third Proportional to 295,433 and 430,232

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Solution

The third proportional to 295,433 and 430,232 is: 626,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,433 : 430,232 = 430,232 : x
  2. Step 2: Convert to fraction form
    295,433/430,232 = 430,232/x
  3. Step 3: Cross multiply
    295,433x = 430,232 × 430,232
  4. Step 4: Simplify right side
    295,433x = 185,099,573,824
  5. Step 5: Solve for x
    x = 185,099,573,824/295,433
  6. Step 6: Final answer
    x = 626,536.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.