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Finding the Third Proportional to 433,055 and 623,804

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Solution

The third proportional to 433,055 and 623,804 is: 898,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,055 : 623,804 = 623,804 : x
  2. Step 2: Convert to fraction form
    433,055/623,804 = 623,804/x
  3. Step 3: Cross multiply
    433,055x = 623,804 × 623,804
  4. Step 4: Simplify right side
    433,055x = 389,131,430,416
  5. Step 5: Solve for x
    x = 389,131,430,416/433,055
  6. Step 6: Final answer
    x = 898,572.77

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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.