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Finding the Third Proportional to 315,684 and 473,886

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Solution

The third proportional to 315,684 and 473,886 is: 711,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,684 : 473,886 = 473,886 : x
  2. Step 2: Convert to fraction form
    315,684/473,886 = 473,886/x
  3. Step 3: Cross multiply
    315,684x = 473,886 × 473,886
  4. Step 4: Simplify right side
    315,684x = 224,567,940,996
  5. Step 5: Solve for x
    x = 224,567,940,996/315,684
  6. Step 6: Final answer
    x = 711,369.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.