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Finding the Third Proportional to 233,254.50 and 508,713

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Solution

The third proportional to 233,254.50 and 508,713 is: 1,109,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,254.50 : 508,713 = 508,713 : x
  2. Step 2: Convert to fraction form
    233,254.50/508,713 = 508,713/x
  3. Step 3: Cross multiply
    233,254.50x = 508,713 × 508,713
  4. Step 4: Simplify right side
    233,254.50x = 258,788,916,369
  5. Step 5: Solve for x
    x = 258,788,916,369/233,254.50
  6. Step 6: Final answer
    x = 1,109,470.20

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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.