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Finding the Third Proportional to 403,767 and 849,338

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Solution

The third proportional to 403,767 and 849,338 is: 1,786,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,767 : 849,338 = 849,338 : x
  2. Step 2: Convert to fraction form
    403,767/849,338 = 849,338/x
  3. Step 3: Cross multiply
    403,767x = 849,338 × 849,338
  4. Step 4: Simplify right side
    403,767x = 721,375,038,244
  5. Step 5: Solve for x
    x = 721,375,038,244/403,767
  6. Step 6: Final answer
    x = 1,786,612.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.