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Finding the Third Proportional to 462,823.50 and 739,071

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Solution

The third proportional to 462,823.50 and 739,071 is: 1,180,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,823.50 : 739,071 = 739,071 : x
  2. Step 2: Convert to fraction form
    462,823.50/739,071 = 739,071/x
  3. Step 3: Cross multiply
    462,823.50x = 739,071 × 739,071
  4. Step 4: Simplify right side
    462,823.50x = 546,225,943,041
  5. Step 5: Solve for x
    x = 546,225,943,041/462,823.50
  6. Step 6: Final answer
    x = 1,180,203.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.