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Finding the Third Proportional to 285,944 and 424,053

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Solution

The third proportional to 285,944 and 424,053 is: 628,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,944 : 424,053 = 424,053 : x
  2. Step 2: Convert to fraction form
    285,944/424,053 = 424,053/x
  3. Step 3: Cross multiply
    285,944x = 424,053 × 424,053
  4. Step 4: Simplify right side
    285,944x = 179,820,946,809
  5. Step 5: Solve for x
    x = 179,820,946,809/285,944
  6. Step 6: Final answer
    x = 628,867.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.