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Finding the Third Proportional to 452,734.50 and 942,657

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Solution

The third proportional to 452,734.50 and 942,657 is: 1,962,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,734.50 : 942,657 = 942,657 : x
  2. Step 2: Convert to fraction form
    452,734.50/942,657 = 942,657/x
  3. Step 3: Cross multiply
    452,734.50x = 942,657 × 942,657
  4. Step 4: Simplify right side
    452,734.50x = 888,602,219,649
  5. Step 5: Solve for x
    x = 888,602,219,649/452,734.50
  6. Step 6: Final answer
    x = 1,962,744.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.