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Finding the Third Proportional to 348,913 and 503,037

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Solution

The third proportional to 348,913 and 503,037 is: 725,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,913 : 503,037 = 503,037 : x
  2. Step 2: Convert to fraction form
    348,913/503,037 = 503,037/x
  3. Step 3: Cross multiply
    348,913x = 503,037 × 503,037
  4. Step 4: Simplify right side
    348,913x = 253,046,223,369
  5. Step 5: Solve for x
    x = 253,046,223,369/348,913
  6. Step 6: Final answer
    x = 725,241.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.