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Finding the Third Proportional to 357,084 and 473,903

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Solution

The third proportional to 357,084 and 473,903 is: 628,939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,084 : 473,903 = 473,903 : x
  2. Step 2: Convert to fraction form
    357,084/473,903 = 473,903/x
  3. Step 3: Cross multiply
    357,084x = 473,903 × 473,903
  4. Step 4: Simplify right side
    357,084x = 224,584,053,409
  5. Step 5: Solve for x
    x = 224,584,053,409/357,084
  6. Step 6: Final answer
    x = 628,939.00

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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.