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Finding the Third Proportional to 355,715 and 546,693

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Solution

The third proportional to 355,715 and 546,693 is: 840,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,715 : 546,693 = 546,693 : x
  2. Step 2: Convert to fraction form
    355,715/546,693 = 546,693/x
  3. Step 3: Cross multiply
    355,715x = 546,693 × 546,693
  4. Step 4: Simplify right side
    355,715x = 298,873,236,249
  5. Step 5: Solve for x
    x = 298,873,236,249/355,715
  6. Step 6: Final answer
    x = 840,204.20

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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.