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Finding the Third Proportional to 369,152 and 808,192

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Solution

The third proportional to 369,152 and 808,192 is: 1,769,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,152 : 808,192 = 808,192 : x
  2. Step 2: Convert to fraction form
    369,152/808,192 = 808,192/x
  3. Step 3: Cross multiply
    369,152x = 808,192 × 808,192
  4. Step 4: Simplify right side
    369,152x = 653,174,308,864
  5. Step 5: Solve for x
    x = 653,174,308,864/369,152
  6. Step 6: Final answer
    x = 1,769,391.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.