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Finding the Third Proportional to 242,925.75 and 530,064

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Solution

The third proportional to 242,925.75 and 530,064 is: 1,156,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,925.75 : 530,064 = 530,064 : x
  2. Step 2: Convert to fraction form
    242,925.75/530,064 = 530,064/x
  3. Step 3: Cross multiply
    242,925.75x = 530,064 × 530,064
  4. Step 4: Simplify right side
    242,925.75x = 280,967,844,096
  5. Step 5: Solve for x
    x = 280,967,844,096/242,925.75
  6. Step 6: Final answer
    x = 1,156,599.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.