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Finding the Third Proportional to 346,567 and 758,357

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Solution

The third proportional to 346,567 and 758,357 is: 1,659,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,567 : 758,357 = 758,357 : x
  2. Step 2: Convert to fraction form
    346,567/758,357 = 758,357/x
  3. Step 3: Cross multiply
    346,567x = 758,357 × 758,357
  4. Step 4: Simplify right side
    346,567x = 575,105,339,449
  5. Step 5: Solve for x
    x = 575,105,339,449/346,567
  6. Step 6: Final answer
    x = 1,659,434.80

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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.