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Finding the Third Proportional to 415,087 and 607,827

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Solution

The third proportional to 415,087 and 607,827 is: 890,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,087 : 607,827 = 607,827 : x
  2. Step 2: Convert to fraction form
    415,087/607,827 = 607,827/x
  3. Step 3: Cross multiply
    415,087x = 607,827 × 607,827
  4. Step 4: Simplify right side
    415,087x = 369,453,661,929
  5. Step 5: Solve for x
    x = 369,453,661,929/415,087
  6. Step 6: Final answer
    x = 890,063.20

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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.