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Finding the Third Proportional to 361,370 and 529,095

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Solution

The third proportional to 361,370 and 529,095 is: 774,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,370 : 529,095 = 529,095 : x
  2. Step 2: Convert to fraction form
    361,370/529,095 = 529,095/x
  3. Step 3: Cross multiply
    361,370x = 529,095 × 529,095
  4. Step 4: Simplify right side
    361,370x = 279,941,519,025
  5. Step 5: Solve for x
    x = 279,941,519,025/361,370
  6. Step 6: Final answer
    x = 774,667.29

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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.