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Finding the Third Proportional to 346,512 and 759,216

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Solution

The third proportional to 346,512 and 759,216 is: 1,663,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,512 : 759,216 = 759,216 : x
  2. Step 2: Convert to fraction form
    346,512/759,216 = 759,216/x
  3. Step 3: Cross multiply
    346,512x = 759,216 × 759,216
  4. Step 4: Simplify right side
    346,512x = 576,408,934,656
  5. Step 5: Solve for x
    x = 576,408,934,656/346,512
  6. Step 6: Final answer
    x = 1,663,460.24

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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.