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Finding the Third Proportional to 375,076.69 and 535,975.88

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Solution

The third proportional to 375,076.69 and 535,975.88 is: 765,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,076.69 : 535,975.88 = 535,975.88 : x
  2. Step 2: Convert to fraction form
    375,076.69/535,975.88 = 535,975.88/x
  3. Step 3: Cross multiply
    375,076.69x = 535,975.88 × 535,975.88
  4. Step 4: Simplify right side
    375,076.69x = 287,270,138,582.02
  5. Step 5: Solve for x
    x = 287,270,138,582.02/375,076.69
  6. Step 6: Final answer
    x = 765,897.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.