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Finding the Third Proportional to 236,996 and 507,346

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Solution

The third proportional to 236,996 and 507,346 is: 1,086,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,996 : 507,346 = 507,346 : x
  2. Step 2: Convert to fraction form
    236,996/507,346 = 507,346/x
  3. Step 3: Cross multiply
    236,996x = 507,346 × 507,346
  4. Step 4: Simplify right side
    236,996x = 257,399,963,716
  5. Step 5: Solve for x
    x = 257,399,963,716/236,996
  6. Step 6: Final answer
    x = 1,086,094.13

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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.