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Finding the Third Proportional to 233,374.50 and 511,929

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Solution

The third proportional to 233,374.50 and 511,929 is: 1,122,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,374.50 : 511,929 = 511,929 : x
  2. Step 2: Convert to fraction form
    233,374.50/511,929 = 511,929/x
  3. Step 3: Cross multiply
    233,374.50x = 511,929 × 511,929
  4. Step 4: Simplify right side
    233,374.50x = 262,071,301,041
  5. Step 5: Solve for x
    x = 262,071,301,041/233,374.50
  6. Step 6: Final answer
    x = 1,122,964.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.