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Finding the Third Proportional to 357,703 and 758,053

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Solution

The third proportional to 357,703 and 758,053 is: 1,606,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,703 : 758,053 = 758,053 : x
  2. Step 2: Convert to fraction form
    357,703/758,053 = 758,053/x
  3. Step 3: Cross multiply
    357,703x = 758,053 × 758,053
  4. Step 4: Simplify right side
    357,703x = 574,644,350,809
  5. Step 5: Solve for x
    x = 574,644,350,809/357,703
  6. Step 6: Final answer
    x = 1,606,484.57

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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.