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Finding the Third Proportional to 212,938.50 and 465,723

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Solution

The third proportional to 212,938.50 and 465,723 is: 1,018,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,938.50 : 465,723 = 465,723 : x
  2. Step 2: Convert to fraction form
    212,938.50/465,723 = 465,723/x
  3. Step 3: Cross multiply
    212,938.50x = 465,723 × 465,723
  4. Step 4: Simplify right side
    212,938.50x = 216,897,912,729
  5. Step 5: Solve for x
    x = 216,897,912,729/212,938.50
  6. Step 6: Final answer
    x = 1,018,594.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.