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Finding the Third Proportional to 359,013 and 545,980.50

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Solution

The third proportional to 359,013 and 545,980.50 is: 830,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,013 : 545,980.50 = 545,980.50 : x
  2. Step 2: Convert to fraction form
    359,013/545,980.50 = 545,980.50/x
  3. Step 3: Cross multiply
    359,013x = 545,980.50 × 545,980.50
  4. Step 4: Simplify right side
    359,013x = 298,094,706,380.25
  5. Step 5: Solve for x
    x = 298,094,706,380.25/359,013
  6. Step 6: Final answer
    x = 830,317.30

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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.