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Finding the Third Proportional to 350,294 and 554,763

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Solution

The third proportional to 350,294 and 554,763 is: 878,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,294 : 554,763 = 554,763 : x
  2. Step 2: Convert to fraction form
    350,294/554,763 = 554,763/x
  3. Step 3: Cross multiply
    350,294x = 554,763 × 554,763
  4. Step 4: Simplify right side
    350,294x = 307,761,986,169
  5. Step 5: Solve for x
    x = 307,761,986,169/350,294
  6. Step 6: Final answer
    x = 878,581.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.