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Finding the Third Proportional to 277,074 and 592,056

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Solution

The third proportional to 277,074 and 592,056 is: 1,265,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,074 : 592,056 = 592,056 : x
  2. Step 2: Convert to fraction form
    277,074/592,056 = 592,056/x
  3. Step 3: Cross multiply
    277,074x = 592,056 × 592,056
  4. Step 4: Simplify right side
    277,074x = 350,530,307,136
  5. Step 5: Solve for x
    x = 350,530,307,136/277,074
  6. Step 6: Final answer
    x = 1,265,114.40

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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.