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Finding the Third Proportional to 539,302 and 798,342

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Solution

The third proportional to 539,302 and 798,342 is: 1,181,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,302 : 798,342 = 798,342 : x
  2. Step 2: Convert to fraction form
    539,302/798,342 = 798,342/x
  3. Step 3: Cross multiply
    539,302x = 798,342 × 798,342
  4. Step 4: Simplify right side
    539,302x = 637,349,948,964
  5. Step 5: Solve for x
    x = 637,349,948,964/539,302
  6. Step 6: Final answer
    x = 1,181,805.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.