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Finding the Third Proportional to 346,568 and 758,360

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Solution

The third proportional to 346,568 and 758,360 is: 1,659,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,568 : 758,360 = 758,360 : x
  2. Step 2: Convert to fraction form
    346,568/758,360 = 758,360/x
  3. Step 3: Cross multiply
    346,568x = 758,360 × 758,360
  4. Step 4: Simplify right side
    346,568x = 575,109,889,600
  5. Step 5: Solve for x
    x = 575,109,889,600/346,568
  6. Step 6: Final answer
    x = 1,659,443.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.