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Finding the Third Proportional to 262,010 and 565,854

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Solution

The third proportional to 262,010 and 565,854 is: 1,222,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,010 : 565,854 = 565,854 : x
  2. Step 2: Convert to fraction form
    262,010/565,854 = 565,854/x
  3. Step 3: Cross multiply
    262,010x = 565,854 × 565,854
  4. Step 4: Simplify right side
    262,010x = 320,190,749,316
  5. Step 5: Solve for x
    x = 320,190,749,316/262,010
  6. Step 6: Final answer
    x = 1,222,055.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.