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Finding the Third Proportional to 648,130 and 950,306

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Solution

The third proportional to 648,130 and 950,306 is: 1,393,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,130 : 950,306 = 950,306 : x
  2. Step 2: Convert to fraction form
    648,130/950,306 = 950,306/x
  3. Step 3: Cross multiply
    648,130x = 950,306 × 950,306
  4. Step 4: Simplify right side
    648,130x = 903,081,493,636
  5. Step 5: Solve for x
    x = 903,081,493,636/648,130
  6. Step 6: Final answer
    x = 1,393,364.75

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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.