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Finding the Third Proportional to 528,034 and 818,025

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Solution

The third proportional to 528,034 and 818,025 is: 1,267,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,034 : 818,025 = 818,025 : x
  2. Step 2: Convert to fraction form
    528,034/818,025 = 818,025/x
  3. Step 3: Cross multiply
    528,034x = 818,025 × 818,025
  4. Step 4: Simplify right side
    528,034x = 669,164,900,625
  5. Step 5: Solve for x
    x = 669,164,900,625/528,034
  6. Step 6: Final answer
    x = 1,267,276.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.