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Finding the Third Proportional to 242,450 and 528,955

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Solution

The third proportional to 242,450 and 528,955 is: 1,154,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,450 : 528,955 = 528,955 : x
  2. Step 2: Convert to fraction form
    242,450/528,955 = 528,955/x
  3. Step 3: Cross multiply
    242,450x = 528,955 × 528,955
  4. Step 4: Simplify right side
    242,450x = 279,793,392,025
  5. Step 5: Solve for x
    x = 279,793,392,025/242,450
  6. Step 6: Final answer
    x = 1,154,025.13

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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.