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Finding the Third Proportional to 556,998 and 812,025

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Solution

The third proportional to 556,998 and 812,025 is: 1,183,818.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,998 : 812,025 = 812,025 : x
  2. Step 2: Convert to fraction form
    556,998/812,025 = 812,025/x
  3. Step 3: Cross multiply
    556,998x = 812,025 × 812,025
  4. Step 4: Simplify right side
    556,998x = 659,384,600,625
  5. Step 5: Solve for x
    x = 659,384,600,625/556,998
  6. Step 6: Final answer
    x = 1,183,818.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.