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Finding the Third Proportional to 357,208 and 544,186

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Solution

The third proportional to 357,208 and 544,186 is: 829,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,208 : 544,186 = 544,186 : x
  2. Step 2: Convert to fraction form
    357,208/544,186 = 544,186/x
  3. Step 3: Cross multiply
    357,208x = 544,186 × 544,186
  4. Step 4: Simplify right side
    357,208x = 296,138,402,596
  5. Step 5: Solve for x
    x = 296,138,402,596/357,208
  6. Step 6: Final answer
    x = 829,036.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.