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Finding the Third Proportional to 262,774.13 and 575,029.13

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Solution

The third proportional to 262,774.13 and 575,029.13 is: 1,258,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,774.13 : 575,029.13 = 575,029.13 : x
  2. Step 2: Convert to fraction form
    262,774.13/575,029.13 = 575,029.13/x
  3. Step 3: Cross multiply
    262,774.13x = 575,029.13 × 575,029.13
  4. Step 4: Simplify right side
    262,774.13x = 330,658,494,598.27
  5. Step 5: Solve for x
    x = 330,658,494,598.27/262,774.13
  6. Step 6: Final answer
    x = 1,258,337.34

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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.