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Finding the Third Proportional to 403,765 and 849,334

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Solution

The third proportional to 403,765 and 849,334 is: 1,786,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,765 : 849,334 = 849,334 : x
  2. Step 2: Convert to fraction form
    403,765/849,334 = 849,334/x
  3. Step 3: Cross multiply
    403,765x = 849,334 × 849,334
  4. Step 4: Simplify right side
    403,765x = 721,368,243,556
  5. Step 5: Solve for x
    x = 721,368,243,556/403,765
  6. Step 6: Final answer
    x = 1,786,604.20

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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.