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Finding the Third Proportional to 282,829.50 and 594,742.50

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Solution

The third proportional to 282,829.50 and 594,742.50 is: 1,250,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,829.50 : 594,742.50 = 594,742.50 : x
  2. Step 2: Convert to fraction form
    282,829.50/594,742.50 = 594,742.50/x
  3. Step 3: Cross multiply
    282,829.50x = 594,742.50 × 594,742.50
  4. Step 4: Simplify right side
    282,829.50x = 353,718,641,306.25
  5. Step 5: Solve for x
    x = 353,718,641,306.25/282,829.50
  6. Step 6: Final answer
    x = 1,250,642.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.