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Finding the Third Proportional to 356,854 and 521,876

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Solution

The third proportional to 356,854 and 521,876 is: 763,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,854 : 521,876 = 521,876 : x
  2. Step 2: Convert to fraction form
    356,854/521,876 = 521,876/x
  3. Step 3: Cross multiply
    356,854x = 521,876 × 521,876
  4. Step 4: Simplify right side
    356,854x = 272,354,559,376
  5. Step 5: Solve for x
    x = 272,354,559,376/356,854
  6. Step 6: Final answer
    x = 763,210.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.