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Finding the Third Proportional to 313,570.50 and 462,973.50

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Solution

The third proportional to 313,570.50 and 462,973.50 is: 683,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,570.50 : 462,973.50 = 462,973.50 : x
  2. Step 2: Convert to fraction form
    313,570.50/462,973.50 = 462,973.50/x
  3. Step 3: Cross multiply
    313,570.50x = 462,973.50 × 462,973.50
  4. Step 4: Simplify right side
    313,570.50x = 214,344,461,702.25
  5. Step 5: Solve for x
    x = 214,344,461,702.25/313,570.50
  6. Step 6: Final answer
    x = 683,560.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.