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Finding the Third Proportional to 357,701 and 758,049

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Solution

The third proportional to 357,701 and 758,049 is: 1,606,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,701 : 758,049 = 758,049 : x
  2. Step 2: Convert to fraction form
    357,701/758,049 = 758,049/x
  3. Step 3: Cross multiply
    357,701x = 758,049 × 758,049
  4. Step 4: Simplify right side
    357,701x = 574,638,286,401
  5. Step 5: Solve for x
    x = 574,638,286,401/357,701
  6. Step 6: Final answer
    x = 1,606,476.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.