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Finding the Third Proportional to 343,587.75 and 524,266.13

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Solution

The third proportional to 343,587.75 and 524,266.13 is: 799,955.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,587.75 : 524,266.13 = 524,266.13 : x
  2. Step 2: Convert to fraction form
    343,587.75/524,266.13 = 524,266.13/x
  3. Step 3: Cross multiply
    343,587.75x = 524,266.13 × 524,266.13
  4. Step 4: Simplify right side
    343,587.75x = 274,854,969,822.52
  5. Step 5: Solve for x
    x = 274,854,969,822.52/343,587.75
  6. Step 6: Final answer
    x = 799,955.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.