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Finding the Third Proportional to 242,510 and 529,072

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Solution

The third proportional to 242,510 and 529,072 is: 1,154,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,510 : 529,072 = 529,072 : x
  2. Step 2: Convert to fraction form
    242,510/529,072 = 529,072/x
  3. Step 3: Cross multiply
    242,510x = 529,072 × 529,072
  4. Step 4: Simplify right side
    242,510x = 279,917,181,184
  5. Step 5: Solve for x
    x = 279,917,181,184/242,510
  6. Step 6: Final answer
    x = 1,154,250.06

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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.