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Finding the Third Proportional to 392,330 and 849,658

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Solution

The third proportional to 392,330 and 849,658 is: 1,840,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,330 : 849,658 = 849,658 : x
  2. Step 2: Convert to fraction form
    392,330/849,658 = 849,658/x
  3. Step 3: Cross multiply
    392,330x = 849,658 × 849,658
  4. Step 4: Simplify right side
    392,330x = 721,918,716,964
  5. Step 5: Solve for x
    x = 721,918,716,964/392,330
  6. Step 6: Final answer
    x = 1,840,080.33

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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.