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Finding the Third Proportional to 539,940 and 838,208

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Solution

The third proportional to 539,940 and 838,208 is: 1,301,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,940 : 838,208 = 838,208 : x
  2. Step 2: Convert to fraction form
    539,940/838,208 = 838,208/x
  3. Step 3: Cross multiply
    539,940x = 838,208 × 838,208
  4. Step 4: Simplify right side
    539,940x = 702,592,651,264
  5. Step 5: Solve for x
    x = 702,592,651,264/539,940
  6. Step 6: Final answer
    x = 1,301,242.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.