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Finding the Third Proportional to 433,771.88 and 648,106.31

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Solution

The third proportional to 433,771.88 and 648,106.31 is: 968,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,771.88 : 648,106.31 = 648,106.31 : x
  2. Step 2: Convert to fraction form
    433,771.88/648,106.31 = 648,106.31/x
  3. Step 3: Cross multiply
    433,771.88x = 648,106.31 × 648,106.31
  4. Step 4: Simplify right side
    433,771.88x = 420,041,792,302.35
  5. Step 5: Solve for x
    x = 420,041,792,302.35/433,771.88
  6. Step 6: Final answer
    x = 968,347.23

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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.