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Finding the Third Proportional to 272,607 and 594,785

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Solution

The third proportional to 272,607 and 594,785 is: 1,297,726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,607 : 594,785 = 594,785 : x
  2. Step 2: Convert to fraction form
    272,607/594,785 = 594,785/x
  3. Step 3: Cross multiply
    272,607x = 594,785 × 594,785
  4. Step 4: Simplify right side
    272,607x = 353,769,196,225
  5. Step 5: Solve for x
    x = 353,769,196,225/272,607
  6. Step 6: Final answer
    x = 1,297,726.02

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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.