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Finding the Third Proportional to 403,764 and 849,332

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Solution

The third proportional to 403,764 and 849,332 is: 1,786,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,764 : 849,332 = 849,332 : x
  2. Step 2: Convert to fraction form
    403,764/849,332 = 849,332/x
  3. Step 3: Cross multiply
    403,764x = 849,332 × 849,332
  4. Step 4: Simplify right side
    403,764x = 721,364,846,224
  5. Step 5: Solve for x
    x = 721,364,846,224/403,764
  6. Step 6: Final answer
    x = 1,786,600.21

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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.