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Finding the Third Proportional to 376,598 and 526,750

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Solution

The third proportional to 376,598 and 526,750 is: 736,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,598 : 526,750 = 526,750 : x
  2. Step 2: Convert to fraction form
    376,598/526,750 = 526,750/x
  3. Step 3: Cross multiply
    376,598x = 526,750 × 526,750
  4. Step 4: Simplify right side
    376,598x = 277,465,562,500
  5. Step 5: Solve for x
    x = 277,465,562,500/376,598
  6. Step 6: Final answer
    x = 736,768.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.