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Finding the Third Proportional to 346,056.50 and 741,321

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Solution

The third proportional to 346,056.50 and 741,321 is: 1,588,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,056.50 : 741,321 = 741,321 : x
  2. Step 2: Convert to fraction form
    346,056.50/741,321 = 741,321/x
  3. Step 3: Cross multiply
    346,056.50x = 741,321 × 741,321
  4. Step 4: Simplify right side
    346,056.50x = 549,556,825,041
  5. Step 5: Solve for x
    x = 549,556,825,041/346,056.50
  6. Step 6: Final answer
    x = 1,588,055.20

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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.