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Finding the Third Proportional to 354,911.63 and 536,599.13

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Solution

The third proportional to 354,911.63 and 536,599.13 is: 811,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,911.63 : 536,599.13 = 536,599.13 : x
  2. Step 2: Convert to fraction form
    354,911.63/536,599.13 = 536,599.13/x
  3. Step 3: Cross multiply
    354,911.63x = 536,599.13 × 536,599.13
  4. Step 4: Simplify right side
    354,911.63x = 287,938,620,950.77
  5. Step 5: Solve for x
    x = 287,938,620,950.77/354,911.63
  6. Step 6: Final answer
    x = 811,296.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.