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Finding the Third Proportional to 242,265 and 530,690

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Solution

The third proportional to 242,265 and 530,690 is: 1,162,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,265 : 530,690 = 530,690 : x
  2. Step 2: Convert to fraction form
    242,265/530,690 = 530,690/x
  3. Step 3: Cross multiply
    242,265x = 530,690 × 530,690
  4. Step 4: Simplify right side
    242,265x = 281,631,876,100
  5. Step 5: Solve for x
    x = 281,631,876,100/242,265
  6. Step 6: Final answer
    x = 1,162,495.10

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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.