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Finding the Third Proportional to 326,496.75 and 478,567.13

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Solution

The third proportional to 326,496.75 and 478,567.13 is: 701,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,496.75 : 478,567.13 = 478,567.13 : x
  2. Step 2: Convert to fraction form
    326,496.75/478,567.13 = 478,567.13/x
  3. Step 3: Cross multiply
    326,496.75x = 478,567.13 × 478,567.13
  4. Step 4: Simplify right side
    326,496.75x = 229,026,493,130.77
  5. Step 5: Solve for x
    x = 229,026,493,130.77/326,496.75
  6. Step 6: Final answer
    x = 701,466.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.