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Finding the Third Proportional to 373,670 and 526,564

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Solution

The third proportional to 373,670 and 526,564 is: 742,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,670 : 526,564 = 526,564 : x
  2. Step 2: Convert to fraction form
    373,670/526,564 = 526,564/x
  3. Step 3: Cross multiply
    373,670x = 526,564 × 526,564
  4. Step 4: Simplify right side
    373,670x = 277,269,646,096
  5. Step 5: Solve for x
    x = 277,269,646,096/373,670
  6. Step 6: Final answer
    x = 742,017.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.