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Finding the Third Proportional to 337,130 and 724,288

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Solution

The third proportional to 337,130 and 724,288 is: 1,556,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,130 : 724,288 = 724,288 : x
  2. Step 2: Convert to fraction form
    337,130/724,288 = 724,288/x
  3. Step 3: Cross multiply
    337,130x = 724,288 × 724,288
  4. Step 4: Simplify right side
    337,130x = 524,593,106,944
  5. Step 5: Solve for x
    x = 524,593,106,944/337,130
  6. Step 6: Final answer
    x = 1,556,055.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.