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Finding the Third Proportional to 328,009.50 and 535,609.97

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Solution

The third proportional to 328,009.50 and 535,609.97 is: 874,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,009.50 : 535,609.97 = 535,609.97 : x
  2. Step 2: Convert to fraction form
    328,009.50/535,609.97 = 535,609.97/x
  3. Step 3: Cross multiply
    328,009.50x = 535,609.97 × 535,609.97
  4. Step 4: Simplify right side
    328,009.50x = 286,878,038,624.38
  5. Step 5: Solve for x
    x = 286,878,038,624.38/328,009.50
  6. Step 6: Final answer
    x = 874,602.84

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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.