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Finding the Third Proportional to 244,506 and 374,025

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Solution

The third proportional to 244,506 and 374,025 is: 572,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,506 : 374,025 = 374,025 : x
  2. Step 2: Convert to fraction form
    244,506/374,025 = 374,025/x
  3. Step 3: Cross multiply
    244,506x = 374,025 × 374,025
  4. Step 4: Simplify right side
    244,506x = 139,894,700,625
  5. Step 5: Solve for x
    x = 139,894,700,625/244,506
  6. Step 6: Final answer
    x = 572,152.42

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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.