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Finding the Third Proportional to 242,460 and 530,061.75

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Solution

The third proportional to 242,460 and 530,061.75 is: 1,158,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,460 : 530,061.75 = 530,061.75 : x
  2. Step 2: Convert to fraction form
    242,460/530,061.75 = 530,061.75/x
  3. Step 3: Cross multiply
    242,460x = 530,061.75 × 530,061.75
  4. Step 4: Simplify right side
    242,460x = 280,965,458,813.06
  5. Step 5: Solve for x
    x = 280,965,458,813.06/242,460
  6. Step 6: Final answer
    x = 1,158,811.59

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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.