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Finding the Third Proportional to 357,082 and 473,900

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Solution

The third proportional to 357,082 and 473,900 is: 628,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,082 : 473,900 = 473,900 : x
  2. Step 2: Convert to fraction form
    357,082/473,900 = 473,900/x
  3. Step 3: Cross multiply
    357,082x = 473,900 × 473,900
  4. Step 4: Simplify right side
    357,082x = 224,581,210,000
  5. Step 5: Solve for x
    x = 224,581,210,000/357,082
  6. Step 6: Final answer
    x = 628,934.56

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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.