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Finding the Third Proportional to 466,483 and 742,627.50

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Solution

The third proportional to 466,483 and 742,627.50 is: 1,182,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,483 : 742,627.50 = 742,627.50 : x
  2. Step 2: Convert to fraction form
    466,483/742,627.50 = 742,627.50/x
  3. Step 3: Cross multiply
    466,483x = 742,627.50 × 742,627.50
  4. Step 4: Simplify right side
    466,483x = 551,495,603,756.25
  5. Step 5: Solve for x
    x = 551,495,603,756.25/466,483
  6. Step 6: Final answer
    x = 1,182,241.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.