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Finding the Third Proportional to 337,276 and 722,368

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Solution

The third proportional to 337,276 and 722,368 is: 1,547,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,276 : 722,368 = 722,368 : x
  2. Step 2: Convert to fraction form
    337,276/722,368 = 722,368/x
  3. Step 3: Cross multiply
    337,276x = 722,368 × 722,368
  4. Step 4: Simplify right side
    337,276x = 521,815,527,424
  5. Step 5: Solve for x
    x = 521,815,527,424/337,276
  6. Step 6: Final answer
    x = 1,547,146.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.