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Finding the Third Proportional to 236,804 and 507,304

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Solution

The third proportional to 236,804 and 507,304 is: 1,086,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,804 : 507,304 = 507,304 : x
  2. Step 2: Convert to fraction form
    236,804/507,304 = 507,304/x
  3. Step 3: Cross multiply
    236,804x = 507,304 × 507,304
  4. Step 4: Simplify right side
    236,804x = 257,357,348,416
  5. Step 5: Solve for x
    x = 257,357,348,416/236,804
  6. Step 6: Final answer
    x = 1,086,794.77

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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.