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Finding the Third Proportional to 346,462 and 759,128

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Solution

The third proportional to 346,462 and 759,128 is: 1,663,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,462 : 759,128 = 759,128 : x
  2. Step 2: Convert to fraction form
    346,462/759,128 = 759,128/x
  3. Step 3: Cross multiply
    346,462x = 759,128 × 759,128
  4. Step 4: Simplify right side
    346,462x = 576,275,320,384
  5. Step 5: Solve for x
    x = 576,275,320,384/346,462
  6. Step 6: Final answer
    x = 1,663,314.65

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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.