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Finding the Third Proportional to 242,466.75 and 530,077.50

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Solution

The third proportional to 242,466.75 and 530,077.50 is: 1,158,848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,466.75 : 530,077.50 = 530,077.50 : x
  2. Step 2: Convert to fraction form
    242,466.75/530,077.50 = 530,077.50/x
  3. Step 3: Cross multiply
    242,466.75x = 530,077.50 × 530,077.50
  4. Step 4: Simplify right side
    242,466.75x = 280,982,156,006.25
  5. Step 5: Solve for x
    x = 280,982,156,006.25/242,466.75
  6. Step 6: Final answer
    x = 1,158,848.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.