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Finding the Third Proportional to 436,482 and 655,313

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Solution

The third proportional to 436,482 and 655,313 is: 983,855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,482 : 655,313 = 655,313 : x
  2. Step 2: Convert to fraction form
    436,482/655,313 = 655,313/x
  3. Step 3: Cross multiply
    436,482x = 655,313 × 655,313
  4. Step 4: Simplify right side
    436,482x = 429,435,127,969
  5. Step 5: Solve for x
    x = 429,435,127,969/436,482
  6. Step 6: Final answer
    x = 983,855.30

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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.