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Finding the Third Proportional to 562,200.75 and 869,577.75

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Solution

The third proportional to 562,200.75 and 869,577.75 is: 1,345,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,200.75 : 869,577.75 = 869,577.75 : x
  2. Step 2: Convert to fraction form
    562,200.75/869,577.75 = 869,577.75/x
  3. Step 3: Cross multiply
    562,200.75x = 869,577.75 × 869,577.75
  4. Step 4: Simplify right side
    562,200.75x = 756,165,463,295.06
  5. Step 5: Solve for x
    x = 756,165,463,295.06/562,200.75
  6. Step 6: Final answer
    x = 1,345,009.70

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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.