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Finding the Third Proportional to 328,533.81 and 480,327.94

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Solution

The third proportional to 328,533.81 and 480,327.94 is: 702,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,533.81 : 480,327.94 = 480,327.94 : x
  2. Step 2: Convert to fraction form
    328,533.81/480,327.94 = 480,327.94/x
  3. Step 3: Cross multiply
    328,533.81x = 480,327.94 × 480,327.94
  4. Step 4: Simplify right side
    328,533.81x = 230,714,927,543.00
  5. Step 5: Solve for x
    x = 230,714,927,543.00/328,533.81
  6. Step 6: Final answer
    x = 702,256.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.