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Finding the Third Proportional to 277,528 and 601,716

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Solution

The third proportional to 277,528 and 601,716 is: 1,304,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,528 : 601,716 = 601,716 : x
  2. Step 2: Convert to fraction form
    277,528/601,716 = 601,716/x
  3. Step 3: Cross multiply
    277,528x = 601,716 × 601,716
  4. Step 4: Simplify right side
    277,528x = 362,062,144,656
  5. Step 5: Solve for x
    x = 362,062,144,656/277,528
  6. Step 6: Final answer
    x = 1,304,596.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.