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Finding the Third Proportional to 337,582.50 and 477,662.25

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Solution

The third proportional to 337,582.50 and 477,662.25 is: 675,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,582.50 : 477,662.25 = 477,662.25 : x
  2. Step 2: Convert to fraction form
    337,582.50/477,662.25 = 477,662.25/x
  3. Step 3: Cross multiply
    337,582.50x = 477,662.25 × 477,662.25
  4. Step 4: Simplify right side
    337,582.50x = 228,161,225,075.06
  5. Step 5: Solve for x
    x = 228,161,225,075.06/337,582.50
  6. Step 6: Final answer
    x = 675,868.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.