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Finding the Third Proportional to 236,820 and 507,328

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Solution

The third proportional to 236,820 and 507,328 is: 1,086,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,820 : 507,328 = 507,328 : x
  2. Step 2: Convert to fraction form
    236,820/507,328 = 507,328/x
  3. Step 3: Cross multiply
    236,820x = 507,328 × 507,328
  4. Step 4: Simplify right side
    236,820x = 257,381,699,584
  5. Step 5: Solve for x
    x = 257,381,699,584/236,820
  6. Step 6: Final answer
    x = 1,086,824.17

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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.