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Finding the Third Proportional to 648,138 and 950,319

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Solution

The third proportional to 648,138 and 950,319 is: 1,393,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,138 : 950,319 = 950,319 : x
  2. Step 2: Convert to fraction form
    648,138/950,319 = 950,319/x
  3. Step 3: Cross multiply
    648,138x = 950,319 × 950,319
  4. Step 4: Simplify right side
    648,138x = 903,106,201,761
  5. Step 5: Solve for x
    x = 903,106,201,761/648,138
  6. Step 6: Final answer
    x = 1,393,385.67

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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.