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Finding the Third Proportional to 359,707.50 and 554,325.75

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Solution

The third proportional to 359,707.50 and 554,325.75 is: 854,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,707.50 : 554,325.75 = 554,325.75 : x
  2. Step 2: Convert to fraction form
    359,707.50/554,325.75 = 554,325.75/x
  3. Step 3: Cross multiply
    359,707.50x = 554,325.75 × 554,325.75
  4. Step 4: Simplify right side
    359,707.50x = 307,277,037,113.06
  5. Step 5: Solve for x
    x = 307,277,037,113.06/359,707.50
  6. Step 6: Final answer
    x = 854,241.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.