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Finding the Third Proportional to 356,577.75 and 523,953

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Solution

The third proportional to 356,577.75 and 523,953 is: 769,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,577.75 : 523,953 = 523,953 : x
  2. Step 2: Convert to fraction form
    356,577.75/523,953 = 523,953/x
  3. Step 3: Cross multiply
    356,577.75x = 523,953 × 523,953
  4. Step 4: Simplify right side
    356,577.75x = 274,526,746,209
  5. Step 5: Solve for x
    x = 274,526,746,209/356,577.75
  6. Step 6: Final answer
    x = 769,893.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.