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Finding the Third Proportional to 359,148.75 and 535,609.13

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Solution

The third proportional to 359,148.75 and 535,609.13 is: 798,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,148.75 : 535,609.13 = 535,609.13 : x
  2. Step 2: Convert to fraction form
    359,148.75/535,609.13 = 535,609.13/x
  3. Step 3: Cross multiply
    359,148.75x = 535,609.13 × 535,609.13
  4. Step 4: Simplify right side
    359,148.75x = 286,877,134,783.27
  5. Step 5: Solve for x
    x = 286,877,134,783.27/359,148.75
  6. Step 6: Final answer
    x = 798,769.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.