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Finding the Third Proportional to 357,706 and 758,045

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Solution

The third proportional to 357,706 and 758,045 is: 1,606,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,706 : 758,045 = 758,045 : x
  2. Step 2: Convert to fraction form
    357,706/758,045 = 758,045/x
  3. Step 3: Cross multiply
    357,706x = 758,045 × 758,045
  4. Step 4: Simplify right side
    357,706x = 574,632,222,025
  5. Step 5: Solve for x
    x = 574,632,222,025/357,706
  6. Step 6: Final answer
    x = 1,606,437.19

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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.