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Finding the Third Proportional to 637,668 and 953,098.50

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Solution

The third proportional to 637,668 and 953,098.50 is: 1,424,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,668 : 953,098.50 = 953,098.50 : x
  2. Step 2: Convert to fraction form
    637,668/953,098.50 = 953,098.50/x
  3. Step 3: Cross multiply
    637,668x = 953,098.50 × 953,098.50
  4. Step 4: Simplify right side
    637,668x = 908,396,750,702.25
  5. Step 5: Solve for x
    x = 908,396,750,702.25/637,668
  6. Step 6: Final answer
    x = 1,424,560.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.