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Finding the Third Proportional to 746,592.50 and 1,152,893.50

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Solution

The third proportional to 746,592.50 and 1,152,893.50 is: 1,780,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,592.50 : 1,152,893.50 = 1,152,893.50 : x
  2. Step 2: Convert to fraction form
    746,592.50/1,152,893.50 = 1,152,893.50/x
  3. Step 3: Cross multiply
    746,592.50x = 1,152,893.50 × 1,152,893.50
  4. Step 4: Simplify right side
    746,592.50x = 1,329,163,422,342.25
  5. Step 5: Solve for x
    x = 1,329,163,422,342.25/746,592.50
  6. Step 6: Final answer
    x = 1,780,306.42

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.