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Finding the Third Proportional to 244,176 and 507,066

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Solution

The third proportional to 244,176 and 507,066 is: 1,052,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,176 : 507,066 = 507,066 : x
  2. Step 2: Convert to fraction form
    244,176/507,066 = 507,066/x
  3. Step 3: Cross multiply
    244,176x = 507,066 × 507,066
  4. Step 4: Simplify right side
    244,176x = 257,115,928,356
  5. Step 5: Solve for x
    x = 257,115,928,356/244,176
  6. Step 6: Final answer
    x = 1,052,994.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.