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Finding the Third Proportional to 233,685 and 506,736

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Solution

The third proportional to 233,685 and 506,736 is: 1,098,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,685 : 506,736 = 506,736 : x
  2. Step 2: Convert to fraction form
    233,685/506,736 = 506,736/x
  3. Step 3: Cross multiply
    233,685x = 506,736 × 506,736
  4. Step 4: Simplify right side
    233,685x = 256,781,373,696
  5. Step 5: Solve for x
    x = 256,781,373,696/233,685
  6. Step 6: Final answer
    x = 1,098,835.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.