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Finding the Third Proportional to 304,336 and 468,376

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Solution

The third proportional to 304,336 and 468,376 is: 720,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,336 : 468,376 = 468,376 : x
  2. Step 2: Convert to fraction form
    304,336/468,376 = 468,376/x
  3. Step 3: Cross multiply
    304,336x = 468,376 × 468,376
  4. Step 4: Simplify right side
    304,336x = 219,376,077,376
  5. Step 5: Solve for x
    x = 219,376,077,376/304,336
  6. Step 6: Final answer
    x = 720,835.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.