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Finding the Third Proportional to 369,402 and 797,856

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Solution

The third proportional to 369,402 and 797,856 is: 1,723,255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,402 : 797,856 = 797,856 : x
  2. Step 2: Convert to fraction form
    369,402/797,856 = 797,856/x
  3. Step 3: Cross multiply
    369,402x = 797,856 × 797,856
  4. Step 4: Simplify right side
    369,402x = 636,574,196,736
  5. Step 5: Solve for x
    x = 636,574,196,736/369,402
  6. Step 6: Final answer
    x = 1,723,255.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.