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Finding the Third Proportional to 446,616.75 and 670,006.13

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Solution

The third proportional to 446,616.75 and 670,006.13 is: 1,005,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,616.75 : 670,006.13 = 670,006.13 : x
  2. Step 2: Convert to fraction form
    446,616.75/670,006.13 = 670,006.13/x
  3. Step 3: Cross multiply
    446,616.75x = 670,006.13 × 670,006.13
  4. Step 4: Simplify right side
    446,616.75x = 448,908,207,537.52
  5. Step 5: Solve for x
    x = 448,908,207,537.52/446,616.75
  6. Step 6: Final answer
    x = 1,005,130.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.