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Finding the Third Proportional to 624,249 and 945,430

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Solution

The third proportional to 624,249 and 945,430 is: 1,431,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,249 : 945,430 = 945,430 : x
  2. Step 2: Convert to fraction form
    624,249/945,430 = 945,430/x
  3. Step 3: Cross multiply
    624,249x = 945,430 × 945,430
  4. Step 4: Simplify right side
    624,249x = 893,837,884,900
  5. Step 5: Solve for x
    x = 893,837,884,900/624,249
  6. Step 6: Final answer
    x = 1,431,861.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.