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Finding the Third Proportional to 375,981 and 782,944

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Solution

The third proportional to 375,981 and 782,944 is: 1,630,405.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,981 : 782,944 = 782,944 : x
  2. Step 2: Convert to fraction form
    375,981/782,944 = 782,944/x
  3. Step 3: Cross multiply
    375,981x = 782,944 × 782,944
  4. Step 4: Simplify right side
    375,981x = 613,001,307,136
  5. Step 5: Solve for x
    x = 613,001,307,136/375,981
  6. Step 6: Final answer
    x = 1,630,405.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.