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Finding the Third Proportional to 346,050.56 and 741,308.63

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Solution

The third proportional to 346,050.56 and 741,308.63 is: 1,588,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,050.56 : 741,308.63 = 741,308.63 : x
  2. Step 2: Convert to fraction form
    346,050.56/741,308.63 = 741,308.63/x
  3. Step 3: Cross multiply
    346,050.56x = 741,308.63 × 741,308.63
  4. Step 4: Simplify right side
    346,050.56x = 549,538,477,499.39
  5. Step 5: Solve for x
    x = 549,538,477,499.39/346,050.56
  6. Step 6: Final answer
    x = 1,588,029.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.