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Finding the Third Proportional to 368,950 and 564,130

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Solution

The third proportional to 368,950 and 564,130 is: 862,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,950 : 564,130 = 564,130 : x
  2. Step 2: Convert to fraction form
    368,950/564,130 = 564,130/x
  3. Step 3: Cross multiply
    368,950x = 564,130 × 564,130
  4. Step 4: Simplify right side
    368,950x = 318,242,656,900
  5. Step 5: Solve for x
    x = 318,242,656,900/368,950
  6. Step 6: Final answer
    x = 862,563.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.