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Finding the Third Proportional to 242,968 and 532,728

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Solution

The third proportional to 242,968 and 532,728 is: 1,168,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,968 : 532,728 = 532,728 : x
  2. Step 2: Convert to fraction form
    242,968/532,728 = 532,728/x
  3. Step 3: Cross multiply
    242,968x = 532,728 × 532,728
  4. Step 4: Simplify right side
    242,968x = 283,799,121,984
  5. Step 5: Solve for x
    x = 283,799,121,984/242,968
  6. Step 6: Final answer
    x = 1,168,051.44

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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.