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Finding the Third Proportional to 355,764 and 569,013

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Solution

The third proportional to 355,764 and 569,013 is: 910,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,764 : 569,013 = 569,013 : x
  2. Step 2: Convert to fraction form
    355,764/569,013 = 569,013/x
  3. Step 3: Cross multiply
    355,764x = 569,013 × 569,013
  4. Step 4: Simplify right side
    355,764x = 323,775,794,169
  5. Step 5: Solve for x
    x = 323,775,794,169/355,764
  6. Step 6: Final answer
    x = 910,085.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.