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Finding the Third Proportional to 384,205 and 617,313

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Solution

The third proportional to 384,205 and 617,313 is: 991,854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,205 : 617,313 = 617,313 : x
  2. Step 2: Convert to fraction form
    384,205/617,313 = 617,313/x
  3. Step 3: Cross multiply
    384,205x = 617,313 × 617,313
  4. Step 4: Simplify right side
    384,205x = 381,075,339,969
  5. Step 5: Solve for x
    x = 381,075,339,969/384,205
  6. Step 6: Final answer
    x = 991,854.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.