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Finding the Third Proportional to 278,573 and 424,389.50

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Solution

The third proportional to 278,573 and 424,389.50 is: 646,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,573 : 424,389.50 = 424,389.50 : x
  2. Step 2: Convert to fraction form
    278,573/424,389.50 = 424,389.50/x
  3. Step 3: Cross multiply
    278,573x = 424,389.50 × 424,389.50
  4. Step 4: Simplify right side
    278,573x = 180,106,447,710.25
  5. Step 5: Solve for x
    x = 180,106,447,710.25/278,573
  6. Step 6: Final answer
    x = 646,532.32

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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.