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Finding the Third Proportional to 473,412 and 665,886

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Solution

The third proportional to 473,412 and 665,886 is: 936,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,412 : 665,886 = 665,886 : x
  2. Step 2: Convert to fraction form
    473,412/665,886 = 665,886/x
  3. Step 3: Cross multiply
    473,412x = 665,886 × 665,886
  4. Step 4: Simplify right side
    473,412x = 443,404,164,996
  5. Step 5: Solve for x
    x = 443,404,164,996/473,412
  6. Step 6: Final answer
    x = 936,613.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.