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Finding the Third Proportional to 359,152.50 and 535,614.75

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Solution

The third proportional to 359,152.50 and 535,614.75 is: 798,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,152.50 : 535,614.75 = 535,614.75 : x
  2. Step 2: Convert to fraction form
    359,152.50/535,614.75 = 535,614.75/x
  3. Step 3: Cross multiply
    359,152.50x = 535,614.75 × 535,614.75
  4. Step 4: Simplify right side
    359,152.50x = 286,883,160,417.56
  5. Step 5: Solve for x
    x = 286,883,160,417.56/359,152.50
  6. Step 6: Final answer
    x = 798,778.12

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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.