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Finding the Third Proportional to 349,358 and 526,935

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Solution

The third proportional to 349,358 and 526,935 is: 794,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,358 : 526,935 = 526,935 : x
  2. Step 2: Convert to fraction form
    349,358/526,935 = 526,935/x
  3. Step 3: Cross multiply
    349,358x = 526,935 × 526,935
  4. Step 4: Simplify right side
    349,358x = 277,660,494,225
  5. Step 5: Solve for x
    x = 277,660,494,225/349,358
  6. Step 6: Final answer
    x = 794,773.54

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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.