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Finding the Third Proportional to 377,310 and 570,828

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Solution

The third proportional to 377,310 and 570,828 is: 863,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,310 : 570,828 = 570,828 : x
  2. Step 2: Convert to fraction form
    377,310/570,828 = 570,828/x
  3. Step 3: Cross multiply
    377,310x = 570,828 × 570,828
  4. Step 4: Simplify right side
    377,310x = 325,844,605,584
  5. Step 5: Solve for x
    x = 325,844,605,584/377,310
  6. Step 6: Final answer
    x = 863,599.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.