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Finding the Third Proportional to 532,102.50 and 1,152,657

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Solution

The third proportional to 532,102.50 and 1,152,657 is: 2,496,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,102.50 : 1,152,657 = 1,152,657 : x
  2. Step 2: Convert to fraction form
    532,102.50/1,152,657 = 1,152,657/x
  3. Step 3: Cross multiply
    532,102.50x = 1,152,657 × 1,152,657
  4. Step 4: Simplify right side
    532,102.50x = 1,328,618,159,649
  5. Step 5: Solve for x
    x = 1,328,618,159,649/532,102.50
  6. Step 6: Final answer
    x = 2,496,921.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.