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Finding the Third Proportional to 357,006 and 772,794

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Solution

The third proportional to 357,006 and 772,794 is: 1,672,830.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,006 : 772,794 = 772,794 : x
  2. Step 2: Convert to fraction form
    357,006/772,794 = 772,794/x
  3. Step 3: Cross multiply
    357,006x = 772,794 × 772,794
  4. Step 4: Simplify right side
    357,006x = 597,210,566,436
  5. Step 5: Solve for x
    x = 597,210,566,436/357,006
  6. Step 6: Final answer
    x = 1,672,830.61

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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.