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Finding the Third Proportional to 233,808.75 and 506,044.13

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Solution

The third proportional to 233,808.75 and 506,044.13 is: 1,095,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,808.75 : 506,044.13 = 506,044.13 : x
  2. Step 2: Convert to fraction form
    233,808.75/506,044.13 = 506,044.13/x
  3. Step 3: Cross multiply
    233,808.75x = 506,044.13 × 506,044.13
  4. Step 4: Simplify right side
    233,808.75x = 256,080,656,447.02
  5. Step 5: Solve for x
    x = 256,080,656,447.02/233,808.75
  6. Step 6: Final answer
    x = 1,095,256.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.