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Finding the Third Proportional to 356,238 and 557,685

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Solution

The third proportional to 356,238 and 557,685 is: 873,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,238 : 557,685 = 557,685 : x
  2. Step 2: Convert to fraction form
    356,238/557,685 = 557,685/x
  3. Step 3: Cross multiply
    356,238x = 557,685 × 557,685
  4. Step 4: Simplify right side
    356,238x = 311,012,559,225
  5. Step 5: Solve for x
    x = 311,012,559,225/356,238
  6. Step 6: Final answer
    x = 873,047.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.