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Finding the Third Proportional to 369,250 and 869,356

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Solution

The third proportional to 369,250 and 869,356 is: 2,046,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,250 : 869,356 = 869,356 : x
  2. Step 2: Convert to fraction form
    369,250/869,356 = 869,356/x
  3. Step 3: Cross multiply
    369,250x = 869,356 × 869,356
  4. Step 4: Simplify right side
    369,250x = 755,779,854,736
  5. Step 5: Solve for x
    x = 755,779,854,736/369,250
  6. Step 6: Final answer
    x = 2,046,797.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.