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Finding the Third Proportional to 346,484 and 759,172

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Solution

The third proportional to 346,484 and 759,172 is: 1,663,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,484 : 759,172 = 759,172 : x
  2. Step 2: Convert to fraction form
    346,484/759,172 = 759,172/x
  3. Step 3: Cross multiply
    346,484x = 759,172 × 759,172
  4. Step 4: Simplify right side
    346,484x = 576,342,125,584
  5. Step 5: Solve for x
    x = 576,342,125,584/346,484
  6. Step 6: Final answer
    x = 1,663,401.85

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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.