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Finding the Third Proportional to 237,003 and 507,222

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Solution

The third proportional to 237,003 and 507,222 is: 1,085,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,003 : 507,222 = 507,222 : x
  2. Step 2: Convert to fraction form
    237,003/507,222 = 507,222/x
  3. Step 3: Cross multiply
    237,003x = 507,222 × 507,222
  4. Step 4: Simplify right side
    237,003x = 257,274,157,284
  5. Step 5: Solve for x
    x = 257,274,157,284/237,003
  6. Step 6: Final answer
    x = 1,085,531.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.