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Finding the Third Proportional to 512,244 and 740,047.50

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Solution

The third proportional to 512,244 and 740,047.50 is: 1,069,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,244 : 740,047.50 = 740,047.50 : x
  2. Step 2: Convert to fraction form
    512,244/740,047.50 = 740,047.50/x
  3. Step 3: Cross multiply
    512,244x = 740,047.50 × 740,047.50
  4. Step 4: Simplify right side
    512,244x = 547,670,302,256.25
  5. Step 5: Solve for x
    x = 547,670,302,256.25/512,244
  6. Step 6: Final answer
    x = 1,069,159.04

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.