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Finding the Third Proportional to 242,256.75 and 530,663.25

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Solution

The third proportional to 242,256.75 and 530,663.25 is: 1,162,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,256.75 : 530,663.25 = 530,663.25 : x
  2. Step 2: Convert to fraction form
    242,256.75/530,663.25 = 530,663.25/x
  3. Step 3: Cross multiply
    242,256.75x = 530,663.25 × 530,663.25
  4. Step 4: Simplify right side
    242,256.75x = 281,603,484,900.56
  5. Step 5: Solve for x
    x = 281,603,484,900.56/242,256.75
  6. Step 6: Final answer
    x = 1,162,417.50

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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.