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Finding the Third Proportional to 242,316 and 566,010

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Solution

The third proportional to 242,316 and 566,010 is: 1,322,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,316 : 566,010 = 566,010 : x
  2. Step 2: Convert to fraction form
    242,316/566,010 = 566,010/x
  3. Step 3: Cross multiply
    242,316x = 566,010 × 566,010
  4. Step 4: Simplify right side
    242,316x = 320,367,320,100
  5. Step 5: Solve for x
    x = 320,367,320,100/242,316
  6. Step 6: Final answer
    x = 1,322,105.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.