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Finding the Third Proportional to 529,655.63 and 1,157,716.13

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Solution

The third proportional to 529,655.63 and 1,157,716.13 is: 2,530,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,655.63 : 1,157,716.13 = 1,157,716.13 : x
  2. Step 2: Convert to fraction form
    529,655.63/1,157,716.13 = 1,157,716.13/x
  3. Step 3: Cross multiply
    529,655.63x = 1,157,716.13 × 1,157,716.13
  4. Step 4: Simplify right side
    529,655.63x = 1,340,306,626,085.02
  5. Step 5: Solve for x
    x = 1,340,306,626,085.02/529,655.63
  6. Step 6: Final answer
    x = 2,530,524.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.