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Finding the Third Proportional to 357,082 and 473,901

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Solution

The third proportional to 357,082 and 473,901 is: 628,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,082 : 473,901 = 473,901 : x
  2. Step 2: Convert to fraction form
    357,082/473,901 = 473,901/x
  3. Step 3: Cross multiply
    357,082x = 473,901 × 473,901
  4. Step 4: Simplify right side
    357,082x = 224,582,157,801
  5. Step 5: Solve for x
    x = 224,582,157,801/357,082
  6. Step 6: Final answer
    x = 628,937.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.