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Finding the Third Proportional to 449,209.13 and 974,281.50

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Solution

The third proportional to 449,209.13 and 974,281.50 is: 2,113,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,209.13 : 974,281.50 = 974,281.50 : x
  2. Step 2: Convert to fraction form
    449,209.13/974,281.50 = 974,281.50/x
  3. Step 3: Cross multiply
    449,209.13x = 974,281.50 × 974,281.50
  4. Step 4: Simplify right side
    449,209.13x = 949,224,441,242.25
  5. Step 5: Solve for x
    x = 949,224,441,242.25/449,209.13
  6. Step 6: Final answer
    x = 2,113,101.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.