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Finding the Third Proportional to 377,304 and 570,816

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Solution

The third proportional to 377,304 and 570,816 is: 863,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,304 : 570,816 = 570,816 : x
  2. Step 2: Convert to fraction form
    377,304/570,816 = 570,816/x
  3. Step 3: Cross multiply
    377,304x = 570,816 × 570,816
  4. Step 4: Simplify right side
    377,304x = 325,830,905,856
  5. Step 5: Solve for x
    x = 325,830,905,856/377,304
  6. Step 6: Final answer
    x = 863,576.60

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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.