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Finding the Third Proportional to 534,948.50 and 793,583

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Solution

The third proportional to 534,948.50 and 793,583 is: 1,177,260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,948.50 : 793,583 = 793,583 : x
  2. Step 2: Convert to fraction form
    534,948.50/793,583 = 793,583/x
  3. Step 3: Cross multiply
    534,948.50x = 793,583 × 793,583
  4. Step 4: Simplify right side
    534,948.50x = 629,773,977,889
  5. Step 5: Solve for x
    x = 629,773,977,889/534,948.50
  6. Step 6: Final answer
    x = 1,177,260.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.