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Finding the Third Proportional to 235,137 and 514,446

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Solution

The third proportional to 235,137 and 514,446 is: 1,125,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,137 : 514,446 = 514,446 : x
  2. Step 2: Convert to fraction form
    235,137/514,446 = 514,446/x
  3. Step 3: Cross multiply
    235,137x = 514,446 × 514,446
  4. Step 4: Simplify right side
    235,137x = 264,654,686,916
  5. Step 5: Solve for x
    x = 264,654,686,916/235,137
  6. Step 6: Final answer
    x = 1,125,533.99

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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.