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Finding the Third Proportional to 479,445 and 1,033,612.50

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Solution

The third proportional to 479,445 and 1,033,612.50 is: 2,228,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,445 : 1,033,612.50 = 1,033,612.50 : x
  2. Step 2: Convert to fraction form
    479,445/1,033,612.50 = 1,033,612.50/x
  3. Step 3: Cross multiply
    479,445x = 1,033,612.50 × 1,033,612.50
  4. Step 4: Simplify right side
    479,445x = 1,068,354,800,156.25
  5. Step 5: Solve for x
    x = 1,068,354,800,156.25/479,445
  6. Step 6: Final answer
    x = 2,228,315.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.