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Finding the Third Proportional to 277,792 and 607,856

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Solution

The third proportional to 277,792 and 607,856 is: 1,330,092.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,792 : 607,856 = 607,856 : x
  2. Step 2: Convert to fraction form
    277,792/607,856 = 607,856/x
  3. Step 3: Cross multiply
    277,792x = 607,856 × 607,856
  4. Step 4: Simplify right side
    277,792x = 369,488,916,736
  5. Step 5: Solve for x
    x = 369,488,916,736/277,792
  6. Step 6: Final answer
    x = 1,330,092.00

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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.