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Finding the Third Proportional to 359,201 and 523,006

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Solution

The third proportional to 359,201 and 523,006 is: 761,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,201 : 523,006 = 523,006 : x
  2. Step 2: Convert to fraction form
    359,201/523,006 = 523,006/x
  3. Step 3: Cross multiply
    359,201x = 523,006 × 523,006
  4. Step 4: Simplify right side
    359,201x = 273,535,276,036
  5. Step 5: Solve for x
    x = 273,535,276,036/359,201
  6. Step 6: Final answer
    x = 761,510.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.