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Finding the Third Proportional to 236,468 and 507,928

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Solution

The third proportional to 236,468 and 507,928 is: 1,091,018.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,468 : 507,928 = 507,928 : x
  2. Step 2: Convert to fraction form
    236,468/507,928 = 507,928/x
  3. Step 3: Cross multiply
    236,468x = 507,928 × 507,928
  4. Step 4: Simplify right side
    236,468x = 257,990,853,184
  5. Step 5: Solve for x
    x = 257,990,853,184/236,468
  6. Step 6: Final answer
    x = 1,091,018.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.