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Finding the Third Proportional to 590,304 and 892,488

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Solution

The third proportional to 590,304 and 892,488 is: 1,349,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,304 : 892,488 = 892,488 : x
  2. Step 2: Convert to fraction form
    590,304/892,488 = 892,488/x
  3. Step 3: Cross multiply
    590,304x = 892,488 × 892,488
  4. Step 4: Simplify right side
    590,304x = 796,534,830,144
  5. Step 5: Solve for x
    x = 796,534,830,144/590,304
  6. Step 6: Final answer
    x = 1,349,363.77

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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.