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Finding the Third Proportional to 284,887 and 607,907

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Solution

The third proportional to 284,887 and 607,907 is: 1,297,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,887 : 607,907 = 607,907 : x
  2. Step 2: Convert to fraction form
    284,887/607,907 = 607,907/x
  3. Step 3: Cross multiply
    284,887x = 607,907 × 607,907
  4. Step 4: Simplify right side
    284,887x = 369,550,920,649
  5. Step 5: Solve for x
    x = 369,550,920,649/284,887
  6. Step 6: Final answer
    x = 1,297,184.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.