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Finding the Third Proportional to 340,994 and 709,780

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Solution

The third proportional to 340,994 and 709,780 is: 1,477,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,994 : 709,780 = 709,780 : x
  2. Step 2: Convert to fraction form
    340,994/709,780 = 709,780/x
  3. Step 3: Cross multiply
    340,994x = 709,780 × 709,780
  4. Step 4: Simplify right side
    340,994x = 503,787,648,400
  5. Step 5: Solve for x
    x = 503,787,648,400/340,994
  6. Step 6: Final answer
    x = 1,477,409.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.