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Finding the Third Proportional to 326,916 and 700,488

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Solution

The third proportional to 326,916 and 700,488 is: 1,500,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,916 : 700,488 = 700,488 : x
  2. Step 2: Convert to fraction form
    326,916/700,488 = 700,488/x
  3. Step 3: Cross multiply
    326,916x = 700,488 × 700,488
  4. Step 4: Simplify right side
    326,916x = 490,683,438,144
  5. Step 5: Solve for x
    x = 490,683,438,144/326,916
  6. Step 6: Final answer
    x = 1,500,946.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.