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Finding the Third Proportional to 347,854.50 and 741,271.50

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Solution

The third proportional to 347,854.50 and 741,271.50 is: 1,579,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,854.50 : 741,271.50 = 741,271.50 : x
  2. Step 2: Convert to fraction form
    347,854.50/741,271.50 = 741,271.50/x
  3. Step 3: Cross multiply
    347,854.50x = 741,271.50 × 741,271.50
  4. Step 4: Simplify right side
    347,854.50x = 549,483,436,712.25
  5. Step 5: Solve for x
    x = 549,483,436,712.25/347,854.50
  6. Step 6: Final answer
    x = 1,579,635.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.