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Finding the Third Proportional to 244,701 and 358,965

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Solution

The third proportional to 244,701 and 358,965 is: 526,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,701 : 358,965 = 358,965 : x
  2. Step 2: Convert to fraction form
    244,701/358,965 = 358,965/x
  3. Step 3: Cross multiply
    244,701x = 358,965 × 358,965
  4. Step 4: Simplify right side
    244,701x = 128,855,871,225
  5. Step 5: Solve for x
    x = 128,855,871,225/244,701
  6. Step 6: Final answer
    x = 526,584.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.