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Finding the Third Proportional to 359,068 and 546,063

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Solution

The third proportional to 359,068 and 546,063 is: 830,441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,068 : 546,063 = 546,063 : x
  2. Step 2: Convert to fraction form
    359,068/546,063 = 546,063/x
  3. Step 3: Cross multiply
    359,068x = 546,063 × 546,063
  4. Step 4: Simplify right side
    359,068x = 298,184,799,969
  5. Step 5: Solve for x
    x = 298,184,799,969/359,068
  6. Step 6: Final answer
    x = 830,441.03

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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.