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Finding the Third Proportional to 506,555.33 and 770,276.78

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Solution

The third proportional to 506,555.33 and 770,276.78 is: 1,171,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,555.33 : 770,276.78 = 770,276.78 : x
  2. Step 2: Convert to fraction form
    506,555.33/770,276.78 = 770,276.78/x
  3. Step 3: Cross multiply
    506,555.33x = 770,276.78 × 770,276.78
  4. Step 4: Simplify right side
    506,555.33x = 593,326,313,715.07
  5. Step 5: Solve for x
    x = 593,326,313,715.07/506,555.33
  6. Step 6: Final answer
    x = 1,171,296.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.