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Finding the Third Proportional to 233,532 and 502,880.81

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Solution

The third proportional to 233,532 and 502,880.81 is: 1,082,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,532 : 502,880.81 = 502,880.81 : x
  2. Step 2: Convert to fraction form
    233,532/502,880.81 = 502,880.81/x
  3. Step 3: Cross multiply
    233,532x = 502,880.81 × 502,880.81
  4. Step 4: Simplify right side
    233,532x = 252,889,111,580.66
  5. Step 5: Solve for x
    x = 252,889,111,580.66/233,532
  6. Step 6: Final answer
    x = 1,082,888.48

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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.