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Finding the Third Proportional to 237,360 and 513,924

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Solution

The third proportional to 237,360 and 513,924 is: 1,112,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,360 : 513,924 = 513,924 : x
  2. Step 2: Convert to fraction form
    237,360/513,924 = 513,924/x
  3. Step 3: Cross multiply
    237,360x = 513,924 × 513,924
  4. Step 4: Simplify right side
    237,360x = 264,117,877,776
  5. Step 5: Solve for x
    x = 264,117,877,776/237,360
  6. Step 6: Final answer
    x = 1,112,731.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.