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Finding the Third Proportional to 346,765 and 757,034

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Solution

The third proportional to 346,765 and 757,034 is: 1,652,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,765 : 757,034 = 757,034 : x
  2. Step 2: Convert to fraction form
    346,765/757,034 = 757,034/x
  3. Step 3: Cross multiply
    346,765x = 757,034 × 757,034
  4. Step 4: Simplify right side
    346,765x = 573,100,477,156
  5. Step 5: Solve for x
    x = 573,100,477,156/346,765
  6. Step 6: Final answer
    x = 1,652,705.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.