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Finding the Third Proportional to 359,047.50 and 531,636

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Solution

The third proportional to 359,047.50 and 531,636 is: 787,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,047.50 : 531,636 = 531,636 : x
  2. Step 2: Convert to fraction form
    359,047.50/531,636 = 531,636/x
  3. Step 3: Cross multiply
    359,047.50x = 531,636 × 531,636
  4. Step 4: Simplify right side
    359,047.50x = 282,636,836,496
  5. Step 5: Solve for x
    x = 282,636,836,496/359,047.50
  6. Step 6: Final answer
    x = 787,185.08

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.