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Finding the Third Proportional to 244,306 and 373,724.50

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Solution

The third proportional to 244,306 and 373,724.50 is: 571,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,306 : 373,724.50 = 373,724.50 : x
  2. Step 2: Convert to fraction form
    244,306/373,724.50 = 373,724.50/x
  3. Step 3: Cross multiply
    244,306x = 373,724.50 × 373,724.50
  4. Step 4: Simplify right side
    244,306x = 139,670,001,900.25
  5. Step 5: Solve for x
    x = 139,670,001,900.25/244,306
  6. Step 6: Final answer
    x = 571,701.07

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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.