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Finding the Third Proportional to 326,725.50 and 707,751

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Solution

The third proportional to 326,725.50 and 707,751 is: 1,533,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,725.50 : 707,751 = 707,751 : x
  2. Step 2: Convert to fraction form
    326,725.50/707,751 = 707,751/x
  3. Step 3: Cross multiply
    326,725.50x = 707,751 × 707,751
  4. Step 4: Simplify right side
    326,725.50x = 500,911,478,001
  5. Step 5: Solve for x
    x = 500,911,478,001/326,725.50
  6. Step 6: Final answer
    x = 1,533,126.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.