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Finding the Third Proportional to 709,354 and 957,039

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Solution

The third proportional to 709,354 and 957,039 is: 1,291,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,354 : 957,039 = 957,039 : x
  2. Step 2: Convert to fraction form
    709,354/957,039 = 957,039/x
  3. Step 3: Cross multiply
    709,354x = 957,039 × 957,039
  4. Step 4: Simplify right side
    709,354x = 915,923,647,521
  5. Step 5: Solve for x
    x = 915,923,647,521/709,354
  6. Step 6: Final answer
    x = 1,291,208.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.