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Finding the Third Proportional to 438,026 and 484,106

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Solution

The third proportional to 438,026 and 484,106 is: 535,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,026 : 484,106 = 484,106 : x
  2. Step 2: Convert to fraction form
    438,026/484,106 = 484,106/x
  3. Step 3: Cross multiply
    438,026x = 484,106 × 484,106
  4. Step 4: Simplify right side
    438,026x = 234,358,619,236
  5. Step 5: Solve for x
    x = 234,358,619,236/438,026
  6. Step 6: Final answer
    x = 535,033.58

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.