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Finding the Third Proportional to 277,858 and 607,090

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Solution

The third proportional to 277,858 and 607,090 is: 1,326,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,858 : 607,090 = 607,090 : x
  2. Step 2: Convert to fraction form
    277,858/607,090 = 607,090/x
  3. Step 3: Cross multiply
    277,858x = 607,090 × 607,090
  4. Step 4: Simplify right side
    277,858x = 368,558,268,100
  5. Step 5: Solve for x
    x = 368,558,268,100/277,858
  6. Step 6: Final answer
    x = 1,326,426.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.