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Finding the Third Proportional to 237,780 and 507,636

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Solution

The third proportional to 237,780 and 507,636 is: 1,083,750.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,780 : 507,636 = 507,636 : x
  2. Step 2: Convert to fraction form
    237,780/507,636 = 507,636/x
  3. Step 3: Cross multiply
    237,780x = 507,636 × 507,636
  4. Step 4: Simplify right side
    237,780x = 257,694,308,496
  5. Step 5: Solve for x
    x = 257,694,308,496/237,780
  6. Step 6: Final answer
    x = 1,083,750.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.