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Finding the Third Proportional to 422,232 and 653,543.50

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Solution

The third proportional to 422,232 and 653,543.50 is: 1,011,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,232 : 653,543.50 = 653,543.50 : x
  2. Step 2: Convert to fraction form
    422,232/653,543.50 = 653,543.50/x
  3. Step 3: Cross multiply
    422,232x = 653,543.50 × 653,543.50
  4. Step 4: Simplify right side
    422,232x = 427,119,106,392.25
  5. Step 5: Solve for x
    x = 427,119,106,392.25/422,232
  6. Step 6: Final answer
    x = 1,011,574.46

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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.