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Finding the Third Proportional to 328,573.13 and 479,935.13

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Solution

The third proportional to 328,573.13 and 479,935.13 is: 701,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,573.13 : 479,935.13 = 479,935.13 : x
  2. Step 2: Convert to fraction form
    328,573.13/479,935.13 = 479,935.13/x
  3. Step 3: Cross multiply
    328,573.13x = 479,935.13 × 479,935.13
  4. Step 4: Simplify right side
    328,573.13x = 230,337,724,208.77
  5. Step 5: Solve for x
    x = 230,337,724,208.77/328,573.13
  6. Step 6: Final answer
    x = 701,024.24

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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.