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Finding the Third Proportional to 377,370 and 570,924

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Solution

The third proportional to 377,370 and 570,924 is: 863,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,370 : 570,924 = 570,924 : x
  2. Step 2: Convert to fraction form
    377,370/570,924 = 570,924/x
  3. Step 3: Cross multiply
    377,370x = 570,924 × 570,924
  4. Step 4: Simplify right side
    377,370x = 325,954,213,776
  5. Step 5: Solve for x
    x = 325,954,213,776/377,370
  6. Step 6: Final answer
    x = 863,752.32

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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.