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Finding the Third Proportional to 246,141 and 537,840

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Solution

The third proportional to 246,141 and 537,840 is: 1,175,228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,141 : 537,840 = 537,840 : x
  2. Step 2: Convert to fraction form
    246,141/537,840 = 537,840/x
  3. Step 3: Cross multiply
    246,141x = 537,840 × 537,840
  4. Step 4: Simplify right side
    246,141x = 289,271,865,600
  5. Step 5: Solve for x
    x = 289,271,865,600/246,141
  6. Step 6: Final answer
    x = 1,175,228.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.