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Finding the Third Proportional to 359,065.50 and 546,057

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Solution

The third proportional to 359,065.50 and 546,057 is: 830,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,065.50 : 546,057 = 546,057 : x
  2. Step 2: Convert to fraction form
    359,065.50/546,057 = 546,057/x
  3. Step 3: Cross multiply
    359,065.50x = 546,057 × 546,057
  4. Step 4: Simplify right side
    359,065.50x = 298,178,247,249
  5. Step 5: Solve for x
    x = 298,178,247,249/359,065.50
  6. Step 6: Final answer
    x = 830,428.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.