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Finding the Third Proportional to 255,294 and 424,006.50

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Solution

The third proportional to 255,294 and 424,006.50 is: 704,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,294 : 424,006.50 = 424,006.50 : x
  2. Step 2: Convert to fraction form
    255,294/424,006.50 = 424,006.50/x
  3. Step 3: Cross multiply
    255,294x = 424,006.50 × 424,006.50
  4. Step 4: Simplify right side
    255,294x = 179,781,512,042.25
  5. Step 5: Solve for x
    x = 179,781,512,042.25/255,294
  6. Step 6: Final answer
    x = 704,213.62

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.