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Finding the Third Proportional to 360,783 and 783,045

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Solution

The third proportional to 360,783 and 783,045 is: 1,699,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,783 : 783,045 = 783,045 : x
  2. Step 2: Convert to fraction form
    360,783/783,045 = 783,045/x
  3. Step 3: Cross multiply
    360,783x = 783,045 × 783,045
  4. Step 4: Simplify right side
    360,783x = 613,159,472,025
  5. Step 5: Solve for x
    x = 613,159,472,025/360,783
  6. Step 6: Final answer
    x = 1,699,524.29

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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.