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Finding the Third Proportional to 246,030 and 532,911

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Solution

The third proportional to 246,030 and 532,911 is: 1,154,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,030 : 532,911 = 532,911 : x
  2. Step 2: Convert to fraction form
    246,030/532,911 = 532,911/x
  3. Step 3: Cross multiply
    246,030x = 532,911 × 532,911
  4. Step 4: Simplify right side
    246,030x = 283,994,133,921
  5. Step 5: Solve for x
    x = 283,994,133,921/246,030
  6. Step 6: Final answer
    x = 1,154,306.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.