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Finding the Third Proportional to 304,340 and 468,382

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Solution

The third proportional to 304,340 and 468,382 is: 720,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,340 : 468,382 = 468,382 : x
  2. Step 2: Convert to fraction form
    304,340/468,382 = 468,382/x
  3. Step 3: Cross multiply
    304,340x = 468,382 × 468,382
  4. Step 4: Simplify right side
    304,340x = 219,381,697,924
  5. Step 5: Solve for x
    x = 219,381,697,924/304,340
  6. Step 6: Final answer
    x = 720,844.11

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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.