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Finding the Third Proportional to 473,454 and 665,946

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Solution

The third proportional to 473,454 and 665,946 is: 936,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,454 : 665,946 = 665,946 : x
  2. Step 2: Convert to fraction form
    473,454/665,946 = 665,946/x
  3. Step 3: Cross multiply
    473,454x = 665,946 × 665,946
  4. Step 4: Simplify right side
    473,454x = 443,484,074,916
  5. Step 5: Solve for x
    x = 443,484,074,916/473,454
  6. Step 6: Final answer
    x = 936,699.39

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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.