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Finding the Third Proportional to 578,025 and 920,544

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Solution

The third proportional to 578,025 and 920,544 is: 1,466,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,025 : 920,544 = 920,544 : x
  2. Step 2: Convert to fraction form
    578,025/920,544 = 920,544/x
  3. Step 3: Cross multiply
    578,025x = 920,544 × 920,544
  4. Step 4: Simplify right side
    578,025x = 847,401,255,936
  5. Step 5: Solve for x
    x = 847,401,255,936/578,025
  6. Step 6: Final answer
    x = 1,466,028.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.