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Finding the Third Proportional to 357,636 and 540,099

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Solution

The third proportional to 357,636 and 540,099 is: 815,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,636 : 540,099 = 540,099 : x
  2. Step 2: Convert to fraction form
    357,636/540,099 = 540,099/x
  3. Step 3: Cross multiply
    357,636x = 540,099 × 540,099
  4. Step 4: Simplify right side
    357,636x = 291,706,929,801
  5. Step 5: Solve for x
    x = 291,706,929,801/357,636
  6. Step 6: Final answer
    x = 815,653.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.