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Finding the Third Proportional to 231,034.50 and 507,429

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Solution

The third proportional to 231,034.50 and 507,429 is: 1,114,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,034.50 : 507,429 = 507,429 : x
  2. Step 2: Convert to fraction form
    231,034.50/507,429 = 507,429/x
  3. Step 3: Cross multiply
    231,034.50x = 507,429 × 507,429
  4. Step 4: Simplify right side
    231,034.50x = 257,484,190,041
  5. Step 5: Solve for x
    x = 257,484,190,041/231,034.50
  6. Step 6: Final answer
    x = 1,114,483.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.