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Finding the Third Proportional to 355,327 and 546,130

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Solution

The third proportional to 355,327 and 546,130 is: 839,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,327 : 546,130 = 546,130 : x
  2. Step 2: Convert to fraction form
    355,327/546,130 = 546,130/x
  3. Step 3: Cross multiply
    355,327x = 546,130 × 546,130
  4. Step 4: Simplify right side
    355,327x = 298,257,976,900
  5. Step 5: Solve for x
    x = 298,257,976,900/355,327
  6. Step 6: Final answer
    x = 839,390.13

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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.