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Finding the Third Proportional to 383,341.50 and 601,386.75

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Solution

The third proportional to 383,341.50 and 601,386.75 is: 943,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,341.50 : 601,386.75 = 601,386.75 : x
  2. Step 2: Convert to fraction form
    383,341.50/601,386.75 = 601,386.75/x
  3. Step 3: Cross multiply
    383,341.50x = 601,386.75 × 601,386.75
  4. Step 4: Simplify right side
    383,341.50x = 361,666,023,075.56
  5. Step 5: Solve for x
    x = 361,666,023,075.56/383,341.50
  6. Step 6: Final answer
    x = 943,456.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.