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Finding the Third Proportional to 562,954.50 and 872,991

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Solution

The third proportional to 562,954.50 and 872,991 is: 1,353,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,954.50 : 872,991 = 872,991 : x
  2. Step 2: Convert to fraction form
    562,954.50/872,991 = 872,991/x
  3. Step 3: Cross multiply
    562,954.50x = 872,991 × 872,991
  4. Step 4: Simplify right side
    562,954.50x = 762,113,286,081
  5. Step 5: Solve for x
    x = 762,113,286,081/562,954.50
  6. Step 6: Final answer
    x = 1,353,774.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.