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Finding the Third Proportional to 233,356 and 508,948

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Solution

The third proportional to 233,356 and 508,948 is: 1,110,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,356 : 508,948 = 508,948 : x
  2. Step 2: Convert to fraction form
    233,356/508,948 = 508,948/x
  3. Step 3: Cross multiply
    233,356x = 508,948 × 508,948
  4. Step 4: Simplify right side
    233,356x = 259,028,066,704
  5. Step 5: Solve for x
    x = 259,028,066,704/233,356
  6. Step 6: Final answer
    x = 1,110,012.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.