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Finding the Third Proportional to 364,132.50 and 742,722

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Solution

The third proportional to 364,132.50 and 742,722 is: 1,514,931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,132.50 : 742,722 = 742,722 : x
  2. Step 2: Convert to fraction form
    364,132.50/742,722 = 742,722/x
  3. Step 3: Cross multiply
    364,132.50x = 742,722 × 742,722
  4. Step 4: Simplify right side
    364,132.50x = 551,635,969,284
  5. Step 5: Solve for x
    x = 551,635,969,284/364,132.50
  6. Step 6: Final answer
    x = 1,514,931.98

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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.