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Finding the Third Proportional to 341,738 and 530,513

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Solution

The third proportional to 341,738 and 530,513 is: 823,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,738 : 530,513 = 530,513 : x
  2. Step 2: Convert to fraction form
    341,738/530,513 = 530,513/x
  3. Step 3: Cross multiply
    341,738x = 530,513 × 530,513
  4. Step 4: Simplify right side
    341,738x = 281,444,043,169
  5. Step 5: Solve for x
    x = 281,444,043,169/341,738
  6. Step 6: Final answer
    x = 823,566.72

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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.