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Finding the Third Proportional to 340,176 and 744,852

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Solution

The third proportional to 340,176 and 744,852 is: 1,630,933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,176 : 744,852 = 744,852 : x
  2. Step 2: Convert to fraction form
    340,176/744,852 = 744,852/x
  3. Step 3: Cross multiply
    340,176x = 744,852 × 744,852
  4. Step 4: Simplify right side
    340,176x = 554,804,501,904
  5. Step 5: Solve for x
    x = 554,804,501,904/340,176
  6. Step 6: Final answer
    x = 1,630,933.70

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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.