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Finding the Third Proportional to 299,346 and 473,916

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Solution

The third proportional to 299,346 and 473,916 is: 750,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,346 : 473,916 = 473,916 : x
  2. Step 2: Convert to fraction form
    299,346/473,916 = 473,916/x
  3. Step 3: Cross multiply
    299,346x = 473,916 × 473,916
  4. Step 4: Simplify right side
    299,346x = 224,596,375,056
  5. Step 5: Solve for x
    x = 224,596,375,056/299,346
  6. Step 6: Final answer
    x = 750,290.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.