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Finding the Third Proportional to 242,446.50 and 528,957

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Solution

The third proportional to 242,446.50 and 528,957 is: 1,154,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,446.50 : 528,957 = 528,957 : x
  2. Step 2: Convert to fraction form
    242,446.50/528,957 = 528,957/x
  3. Step 3: Cross multiply
    242,446.50x = 528,957 × 528,957
  4. Step 4: Simplify right side
    242,446.50x = 279,795,507,849
  5. Step 5: Solve for x
    x = 279,795,507,849/242,446.50
  6. Step 6: Final answer
    x = 1,154,050.51

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Why These Related Problems?

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