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Finding the Third Proportional to 368,952 and 564,135

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Solution

The third proportional to 368,952 and 564,135 is: 862,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,952 : 564,135 = 564,135 : x
  2. Step 2: Convert to fraction form
    368,952/564,135 = 564,135/x
  3. Step 3: Cross multiply
    368,952x = 564,135 × 564,135
  4. Step 4: Simplify right side
    368,952x = 318,248,298,225
  5. Step 5: Solve for x
    x = 318,248,298,225/368,952
  6. Step 6: Final answer
    x = 862,573.72

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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.