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Finding the Third Proportional to 339,546 and 524,091

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Solution

The third proportional to 339,546 and 524,091 is: 808,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,546 : 524,091 = 524,091 : x
  2. Step 2: Convert to fraction form
    339,546/524,091 = 524,091/x
  3. Step 3: Cross multiply
    339,546x = 524,091 × 524,091
  4. Step 4: Simplify right side
    339,546x = 274,671,376,281
  5. Step 5: Solve for x
    x = 274,671,376,281/339,546
  6. Step 6: Final answer
    x = 808,937.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.