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Finding the Third Proportional to 326,578.50 and 480,259.13

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Solution

The third proportional to 326,578.50 and 480,259.13 is: 706,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,578.50 : 480,259.13 = 480,259.13 : x
  2. Step 2: Convert to fraction form
    326,578.50/480,259.13 = 480,259.13/x
  3. Step 3: Cross multiply
    326,578.50x = 480,259.13 × 480,259.13
  4. Step 4: Simplify right side
    326,578.50x = 230,648,827,145.77
  5. Step 5: Solve for x
    x = 230,648,827,145.77/326,578.50
  6. Step 6: Final answer
    x = 706,258.46

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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.