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Finding the Third Proportional to 377,298 and 570,807

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Solution

The third proportional to 377,298 and 570,807 is: 863,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,298 : 570,807 = 570,807 : x
  2. Step 2: Convert to fraction form
    377,298/570,807 = 570,807/x
  3. Step 3: Cross multiply
    377,298x = 570,807 × 570,807
  4. Step 4: Simplify right side
    377,298x = 325,820,631,249
  5. Step 5: Solve for x
    x = 325,820,631,249/377,298
  6. Step 6: Final answer
    x = 863,563.10

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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.