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Finding the Third Proportional to 433,058 and 623,808

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Solution

The third proportional to 433,058 and 623,808 is: 898,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,058 : 623,808 = 623,808 : x
  2. Step 2: Convert to fraction form
    433,058/623,808 = 623,808/x
  3. Step 3: Cross multiply
    433,058x = 623,808 × 623,808
  4. Step 4: Simplify right side
    433,058x = 389,136,420,864
  5. Step 5: Solve for x
    x = 389,136,420,864/433,058
  6. Step 6: Final answer
    x = 898,578.07

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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.