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Finding the Third Proportional to 373,264 and 562,984

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Solution

The third proportional to 373,264 and 562,984 is: 849,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,264 : 562,984 = 562,984 : x
  2. Step 2: Convert to fraction form
    373,264/562,984 = 562,984/x
  3. Step 3: Cross multiply
    373,264x = 562,984 × 562,984
  4. Step 4: Simplify right side
    373,264x = 316,950,984,256
  5. Step 5: Solve for x
    x = 316,950,984,256/373,264
  6. Step 6: Final answer
    x = 849,133.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.