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Finding the Third Proportional to 277,790 and 607,852

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Solution

The third proportional to 277,790 and 607,852 is: 1,330,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,790 : 607,852 = 607,852 : x
  2. Step 2: Convert to fraction form
    277,790/607,852 = 607,852/x
  3. Step 3: Cross multiply
    277,790x = 607,852 × 607,852
  4. Step 4: Simplify right side
    277,790x = 369,484,053,904
  5. Step 5: Solve for x
    x = 369,484,053,904/277,790
  6. Step 6: Final answer
    x = 1,330,084.07

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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.