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Finding the Third Proportional to 268,896 and 565,312

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Solution

The third proportional to 268,896 and 565,312 is: 1,188,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,896 : 565,312 = 565,312 : x
  2. Step 2: Convert to fraction form
    268,896/565,312 = 565,312/x
  3. Step 3: Cross multiply
    268,896x = 565,312 × 565,312
  4. Step 4: Simplify right side
    268,896x = 319,577,657,344
  5. Step 5: Solve for x
    x = 319,577,657,344/268,896
  6. Step 6: Final answer
    x = 1,188,480.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.