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Finding the Third Proportional to 469,077.75 and 914,827.50

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Solution

The third proportional to 469,077.75 and 914,827.50 is: 1,784,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,077.75 : 914,827.50 = 914,827.50 : x
  2. Step 2: Convert to fraction form
    469,077.75/914,827.50 = 914,827.50/x
  3. Step 3: Cross multiply
    469,077.75x = 914,827.50 × 914,827.50
  4. Step 4: Simplify right side
    469,077.75x = 836,909,354,756.25
  5. Step 5: Solve for x
    x = 836,909,354,756.25/469,077.75
  6. Step 6: Final answer
    x = 1,784,159.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.