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Finding the Third Proportional to 357,703 and 758,052

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Solution

The third proportional to 357,703 and 758,052 is: 1,606,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,703 : 758,052 = 758,052 : x
  2. Step 2: Convert to fraction form
    357,703/758,052 = 758,052/x
  3. Step 3: Cross multiply
    357,703x = 758,052 × 758,052
  4. Step 4: Simplify right side
    357,703x = 574,642,834,704
  5. Step 5: Solve for x
    x = 574,642,834,704/357,703
  6. Step 6: Final answer
    x = 1,606,480.33

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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.