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Finding the Third Proportional to 495,193.50 and 742,486.50

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Solution

The third proportional to 495,193.50 and 742,486.50 is: 1,113,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,193.50 : 742,486.50 = 742,486.50 : x
  2. Step 2: Convert to fraction form
    495,193.50/742,486.50 = 742,486.50/x
  3. Step 3: Cross multiply
    495,193.50x = 742,486.50 × 742,486.50
  4. Step 4: Simplify right side
    495,193.50x = 551,286,202,682.25
  5. Step 5: Solve for x
    x = 551,286,202,682.25/495,193.50
  6. Step 6: Final answer
    x = 1,113,274.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.