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Finding the Third Proportional to 400,702 and 624,030

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Solution

The third proportional to 400,702 and 624,030 is: 971,828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,702 : 624,030 = 624,030 : x
  2. Step 2: Convert to fraction form
    400,702/624,030 = 624,030/x
  3. Step 3: Cross multiply
    400,702x = 624,030 × 624,030
  4. Step 4: Simplify right side
    400,702x = 389,413,440,900
  5. Step 5: Solve for x
    x = 389,413,440,900/400,702
  6. Step 6: Final answer
    x = 971,828.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.