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Finding the Third Proportional to 371,064 and 808,368

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Solution

The third proportional to 371,064 and 808,368 is: 1,761,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,064 : 808,368 = 808,368 : x
  2. Step 2: Convert to fraction form
    371,064/808,368 = 808,368/x
  3. Step 3: Cross multiply
    371,064x = 808,368 × 808,368
  4. Step 4: Simplify right side
    371,064x = 653,458,823,424
  5. Step 5: Solve for x
    x = 653,458,823,424/371,064
  6. Step 6: Final answer
    x = 1,761,040.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.