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Finding the Third Proportional to 346,056.75 and 741,319.88

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Solution

The third proportional to 346,056.75 and 741,319.88 is: 1,588,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,056.75 : 741,319.88 = 741,319.88 : x
  2. Step 2: Convert to fraction form
    346,056.75/741,319.88 = 741,319.88/x
  3. Step 3: Cross multiply
    346,056.75x = 741,319.88 × 741,319.88
  4. Step 4: Simplify right side
    346,056.75x = 549,555,157,070.02
  5. Step 5: Solve for x
    x = 549,555,157,070.02/346,056.75
  6. Step 6: Final answer
    x = 1,588,049.23

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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.