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Finding the Third Proportional to 359,063 and 546,055

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Solution

The third proportional to 359,063 and 546,055 is: 830,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,063 : 546,055 = 546,055 : x
  2. Step 2: Convert to fraction form
    359,063/546,055 = 546,055/x
  3. Step 3: Cross multiply
    359,063x = 546,055 × 546,055
  4. Step 4: Simplify right side
    359,063x = 298,176,063,025
  5. Step 5: Solve for x
    x = 298,176,063,025/359,063
  6. Step 6: Final answer
    x = 830,428.26

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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.