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Finding the Third Proportional to 323,271 and 702,549.75

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Solution

The third proportional to 323,271 and 702,549.75 is: 1,526,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,271 : 702,549.75 = 702,549.75 : x
  2. Step 2: Convert to fraction form
    323,271/702,549.75 = 702,549.75/x
  3. Step 3: Cross multiply
    323,271x = 702,549.75 × 702,549.75
  4. Step 4: Simplify right side
    323,271x = 493,576,151,225.06
  5. Step 5: Solve for x
    x = 493,576,151,225.06/323,271
  6. Step 6: Final answer
    x = 1,526,818.52

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