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Finding the Third Proportional to 363,234 and 742,506

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Solution

The third proportional to 363,234 and 742,506 is: 1,517,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,234 : 742,506 = 742,506 : x
  2. Step 2: Convert to fraction form
    363,234/742,506 = 742,506/x
  3. Step 3: Cross multiply
    363,234x = 742,506 × 742,506
  4. Step 4: Simplify right side
    363,234x = 551,315,160,036
  5. Step 5: Solve for x
    x = 551,315,160,036/363,234
  6. Step 6: Final answer
    x = 1,517,796.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.