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Finding the Third Proportional to 340,054 and 744,747

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Solution

The third proportional to 340,054 and 744,747 is: 1,631,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,054 : 744,747 = 744,747 : x
  2. Step 2: Convert to fraction form
    340,054/744,747 = 744,747/x
  3. Step 3: Cross multiply
    340,054x = 744,747 × 744,747
  4. Step 4: Simplify right side
    340,054x = 554,648,094,009
  5. Step 5: Solve for x
    x = 554,648,094,009/340,054
  6. Step 6: Final answer
    x = 1,631,058.87

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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.