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Finding the Third Proportional to 239,278 and 525,726

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Solution

The third proportional to 239,278 and 525,726 is: 1,155,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,278 : 525,726 = 525,726 : x
  2. Step 2: Convert to fraction form
    239,278/525,726 = 525,726/x
  3. Step 3: Cross multiply
    239,278x = 525,726 × 525,726
  4. Step 4: Simplify right side
    239,278x = 276,387,827,076
  5. Step 5: Solve for x
    x = 276,387,827,076/239,278
  6. Step 6: Final answer
    x = 1,155,090.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.