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Finding the Third Proportional to 295,446 and 430,254

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Solution

The third proportional to 295,446 and 430,254 is: 626,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,446 : 430,254 = 430,254 : x
  2. Step 2: Convert to fraction form
    295,446/430,254 = 430,254/x
  3. Step 3: Cross multiply
    295,446x = 430,254 × 430,254
  4. Step 4: Simplify right side
    295,446x = 185,118,504,516
  5. Step 5: Solve for x
    x = 185,118,504,516/295,446
  6. Step 6: Final answer
    x = 626,573.06

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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.