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Finding the Third Proportional to 263,058 and 575,316

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Solution

The third proportional to 263,058 and 575,316 is: 1,258,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,058 : 575,316 = 575,316 : x
  2. Step 2: Convert to fraction form
    263,058/575,316 = 575,316/x
  3. Step 3: Cross multiply
    263,058x = 575,316 × 575,316
  4. Step 4: Simplify right side
    263,058x = 330,988,499,856
  5. Step 5: Solve for x
    x = 330,988,499,856/263,058
  6. Step 6: Final answer
    x = 1,258,233.93

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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.