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Finding the Third Proportional to 562,261.50 and 822,304.50

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Solution

The third proportional to 562,261.50 and 822,304.50 is: 1,202,616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,261.50 : 822,304.50 = 822,304.50 : x
  2. Step 2: Convert to fraction form
    562,261.50/822,304.50 = 822,304.50/x
  3. Step 3: Cross multiply
    562,261.50x = 822,304.50 × 822,304.50
  4. Step 4: Simplify right side
    562,261.50x = 676,184,690,720.25
  5. Step 5: Solve for x
    x = 676,184,690,720.25/562,261.50
  6. Step 6: Final answer
    x = 1,202,616.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.