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Finding the Third Proportional to 328,012.88 and 535,615.88

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Solution

The third proportional to 328,012.88 and 535,615.88 is: 874,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,012.88 : 535,615.88 = 535,615.88 : x
  2. Step 2: Convert to fraction form
    328,012.88/535,615.88 = 535,615.88/x
  3. Step 3: Cross multiply
    328,012.88x = 535,615.88 × 535,615.88
  4. Step 4: Simplify right side
    328,012.88x = 286,884,365,552.02
  5. Step 5: Solve for x
    x = 286,884,365,552.02/328,012.88
  6. Step 6: Final answer
    x = 874,613.12

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.