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Finding the Third Proportional to 359,061 and 546,052

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Solution

The third proportional to 359,061 and 546,052 is: 830,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,061 : 546,052 = 546,052 : x
  2. Step 2: Convert to fraction form
    359,061/546,052 = 546,052/x
  3. Step 3: Cross multiply
    359,061x = 546,052 × 546,052
  4. Step 4: Simplify right side
    359,061x = 298,172,786,704
  5. Step 5: Solve for x
    x = 298,172,786,704/359,061
  6. Step 6: Final answer
    x = 830,423.76

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Why These Related Problems?

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