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Finding the Third Proportional to 359,196.75 and 523,000.13

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Solution

The third proportional to 359,196.75 and 523,000.13 is: 761,502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,196.75 : 523,000.13 = 523,000.13 : x
  2. Step 2: Convert to fraction form
    359,196.75/523,000.13 = 523,000.13/x
  3. Step 3: Cross multiply
    359,196.75x = 523,000.13 × 523,000.13
  4. Step 4: Simplify right side
    359,196.75x = 273,529,130,750.02
  5. Step 5: Solve for x
    x = 273,529,130,750.02/359,196.75
  6. Step 6: Final answer
    x = 761,502.24

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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.