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Finding the Third Proportional to 246,716 and 537,820

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Solution

The third proportional to 246,716 and 537,820 is: 1,172,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,716 : 537,820 = 537,820 : x
  2. Step 2: Convert to fraction form
    246,716/537,820 = 537,820/x
  3. Step 3: Cross multiply
    246,716x = 537,820 × 537,820
  4. Step 4: Simplify right side
    246,716x = 289,250,352,400
  5. Step 5: Solve for x
    x = 289,250,352,400/246,716
  6. Step 6: Final answer
    x = 1,172,402.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.