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Finding the Third Proportional to 357,064 and 473,872

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Solution

The third proportional to 357,064 and 473,872 is: 628,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,064 : 473,872 = 473,872 : x
  2. Step 2: Convert to fraction form
    357,064/473,872 = 473,872/x
  3. Step 3: Cross multiply
    357,064x = 473,872 × 473,872
  4. Step 4: Simplify right side
    357,064x = 224,554,672,384
  5. Step 5: Solve for x
    x = 224,554,672,384/357,064
  6. Step 6: Final answer
    x = 628,891.94

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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.