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Finding the Third Proportional to 437,729 and 803,530

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Solution

The third proportional to 437,729 and 803,530 is: 1,475,023.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,729 : 803,530 = 803,530 : x
  2. Step 2: Convert to fraction form
    437,729/803,530 = 803,530/x
  3. Step 3: Cross multiply
    437,729x = 803,530 × 803,530
  4. Step 4: Simplify right side
    437,729x = 645,660,460,900
  5. Step 5: Solve for x
    x = 645,660,460,900/437,729
  6. Step 6: Final answer
    x = 1,475,023.27

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.