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Finding the Third Proportional to 242,559.56 and 510,254.44

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Solution

The third proportional to 242,559.56 and 510,254.44 is: 1,073,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,559.56 : 510,254.44 = 510,254.44 : x
  2. Step 2: Convert to fraction form
    242,559.56/510,254.44 = 510,254.44/x
  3. Step 3: Cross multiply
    242,559.56x = 510,254.44 × 510,254.44
  4. Step 4: Simplify right side
    242,559.56x = 260,359,590,988.44
  5. Step 5: Solve for x
    x = 260,359,590,988.44/242,559.56
  6. Step 6: Final answer
    x = 1,073,384.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.