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Finding the Third Proportional to 623,963 and 892,300

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Solution

The third proportional to 623,963 and 892,300 is: 1,276,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,963 : 892,300 = 892,300 : x
  2. Step 2: Convert to fraction form
    623,963/892,300 = 892,300/x
  3. Step 3: Cross multiply
    623,963x = 892,300 × 892,300
  4. Step 4: Simplify right side
    623,963x = 796,199,290,000
  5. Step 5: Solve for x
    x = 796,199,290,000/623,963
  6. Step 6: Final answer
    x = 1,276,036.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.