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Finding the Third Proportional to 282,487.50 and 424,353.94

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Solution

The third proportional to 282,487.50 and 424,353.94 is: 637,466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,487.50 : 424,353.94 = 424,353.94 : x
  2. Step 2: Convert to fraction form
    282,487.50/424,353.94 = 424,353.94/x
  3. Step 3: Cross multiply
    282,487.50x = 424,353.94 × 424,353.94
  4. Step 4: Simplify right side
    282,487.50x = 180,076,264,271.75
  5. Step 5: Solve for x
    x = 180,076,264,271.75/282,487.50
  6. Step 6: Final answer
    x = 637,466.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.