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Finding the Third Proportional to 326,904.75 and 692,761.50

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Solution

The third proportional to 326,904.75 and 692,761.50 is: 1,468,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,904.75 : 692,761.50 = 692,761.50 : x
  2. Step 2: Convert to fraction form
    326,904.75/692,761.50 = 692,761.50/x
  3. Step 3: Cross multiply
    326,904.75x = 692,761.50 × 692,761.50
  4. Step 4: Simplify right side
    326,904.75x = 479,918,495,882.25
  5. Step 5: Solve for x
    x = 479,918,495,882.25/326,904.75
  6. Step 6: Final answer
    x = 1,468,068.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.