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Finding the Third Proportional to 353,220 and 756,944

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Solution

The third proportional to 353,220 and 756,944 is: 1,622,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,220 : 756,944 = 756,944 : x
  2. Step 2: Convert to fraction form
    353,220/756,944 = 756,944/x
  3. Step 3: Cross multiply
    353,220x = 756,944 × 756,944
  4. Step 4: Simplify right side
    353,220x = 572,964,219,136
  5. Step 5: Solve for x
    x = 572,964,219,136/353,220
  6. Step 6: Final answer
    x = 1,622,117.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.