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Finding the Third Proportional to 602,058 and 825,585

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Solution

The third proportional to 602,058 and 825,585 is: 1,132,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,058 : 825,585 = 825,585 : x
  2. Step 2: Convert to fraction form
    602,058/825,585 = 825,585/x
  3. Step 3: Cross multiply
    602,058x = 825,585 × 825,585
  4. Step 4: Simplify right side
    602,058x = 681,590,592,225
  5. Step 5: Solve for x
    x = 681,590,592,225/602,058
  6. Step 6: Final answer
    x = 1,132,101.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.