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Finding the Third Proportional to 377,302 and 570,814

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Solution

The third proportional to 377,302 and 570,814 is: 863,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,302 : 570,814 = 570,814 : x
  2. Step 2: Convert to fraction form
    377,302/570,814 = 570,814/x
  3. Step 3: Cross multiply
    377,302x = 570,814 × 570,814
  4. Step 4: Simplify right side
    377,302x = 325,828,622,596
  5. Step 5: Solve for x
    x = 325,828,622,596/377,302
  6. Step 6: Final answer
    x = 863,575.13

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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.