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Finding the Third Proportional to 233,340.75 and 508,916.25

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Solution

The third proportional to 233,340.75 and 508,916.25 is: 1,109,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,340.75 : 508,916.25 = 508,916.25 : x
  2. Step 2: Convert to fraction form
    233,340.75/508,916.25 = 508,916.25/x
  3. Step 3: Cross multiply
    233,340.75x = 508,916.25 × 508,916.25
  4. Step 4: Simplify right side
    233,340.75x = 258,995,749,514.06
  5. Step 5: Solve for x
    x = 258,995,749,514.06/233,340.75
  6. Step 6: Final answer
    x = 1,109,946.50

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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.