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Finding the Third Proportional to 368,880 and 564,030

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Solution

The third proportional to 368,880 and 564,030 is: 862,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,880 : 564,030 = 564,030 : x
  2. Step 2: Convert to fraction form
    368,880/564,030 = 564,030/x
  3. Step 3: Cross multiply
    368,880x = 564,030 × 564,030
  4. Step 4: Simplify right side
    368,880x = 318,129,840,900
  5. Step 5: Solve for x
    x = 318,129,840,900/368,880
  6. Step 6: Final answer
    x = 862,420.95

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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.