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Finding the Third Proportional to 341,916 and 530,798

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Solution

The third proportional to 341,916 and 530,798 is: 824,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,916 : 530,798 = 530,798 : x
  2. Step 2: Convert to fraction form
    341,916/530,798 = 530,798/x
  3. Step 3: Cross multiply
    341,916x = 530,798 × 530,798
  4. Step 4: Simplify right side
    341,916x = 281,746,516,804
  5. Step 5: Solve for x
    x = 281,746,516,804/341,916
  6. Step 6: Final answer
    x = 824,022.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.