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Finding the Third Proportional to 749,367 and 1,142,824.50

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Solution

The third proportional to 749,367 and 1,142,824.50 is: 1,742,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,367 : 1,142,824.50 = 1,142,824.50 : x
  2. Step 2: Convert to fraction form
    749,367/1,142,824.50 = 1,142,824.50/x
  3. Step 3: Cross multiply
    749,367x = 1,142,824.50 × 1,142,824.50
  4. Step 4: Simplify right side
    749,367x = 1,306,047,837,800.25
  5. Step 5: Solve for x
    x = 1,306,047,837,800.25/749,367
  6. Step 6: Final answer
    x = 1,742,868.10

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.