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Finding the Third Proportional to 361,378 and 529,106

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Solution

The third proportional to 361,378 and 529,106 is: 774,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,378 : 529,106 = 529,106 : x
  2. Step 2: Convert to fraction form
    361,378/529,106 = 529,106/x
  3. Step 3: Cross multiply
    361,378x = 529,106 × 529,106
  4. Step 4: Simplify right side
    361,378x = 279,953,159,236
  5. Step 5: Solve for x
    x = 279,953,159,236/361,378
  6. Step 6: Final answer
    x = 774,682.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.