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Finding the Third Proportional to 284,124 and 431,370

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Solution

The third proportional to 284,124 and 431,370 is: 654,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,124 : 431,370 = 431,370 : x
  2. Step 2: Convert to fraction form
    284,124/431,370 = 431,370/x
  3. Step 3: Cross multiply
    284,124x = 431,370 × 431,370
  4. Step 4: Simplify right side
    284,124x = 186,080,076,900
  5. Step 5: Solve for x
    x = 186,080,076,900/284,124
  6. Step 6: Final answer
    x = 654,925.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.