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Finding the Third Proportional to 433,026 and 623,758

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Solution

The third proportional to 433,026 and 623,758 is: 898,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,026 : 623,758 = 623,758 : x
  2. Step 2: Convert to fraction form
    433,026/623,758 = 623,758/x
  3. Step 3: Cross multiply
    433,026x = 623,758 × 623,758
  4. Step 4: Simplify right side
    433,026x = 389,074,042,564
  5. Step 5: Solve for x
    x = 389,074,042,564/433,026
  6. Step 6: Final answer
    x = 898,500.42

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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.