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Finding the Third Proportional to 359,986.50 and 771,207

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Solution

The third proportional to 359,986.50 and 771,207 is: 1,652,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,986.50 : 771,207 = 771,207 : x
  2. Step 2: Convert to fraction form
    359,986.50/771,207 = 771,207/x
  3. Step 3: Cross multiply
    359,986.50x = 771,207 × 771,207
  4. Step 4: Simplify right side
    359,986.50x = 594,760,236,849
  5. Step 5: Solve for x
    x = 594,760,236,849/359,986.50
  6. Step 6: Final answer
    x = 1,652,173.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.