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Finding the Third Proportional to 373,590 and 810,684

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Solution

The third proportional to 373,590 and 810,684 is: 1,759,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,590 : 810,684 = 810,684 : x
  2. Step 2: Convert to fraction form
    373,590/810,684 = 810,684/x
  3. Step 3: Cross multiply
    373,590x = 810,684 × 810,684
  4. Step 4: Simplify right side
    373,590x = 657,208,547,856
  5. Step 5: Solve for x
    x = 657,208,547,856/373,590
  6. Step 6: Final answer
    x = 1,759,170.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.