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Finding the Third Proportional to 262,944 and 575,642

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Solution

The third proportional to 262,944 and 575,642 is: 1,260,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,944 : 575,642 = 575,642 : x
  2. Step 2: Convert to fraction form
    262,944/575,642 = 575,642/x
  3. Step 3: Cross multiply
    262,944x = 575,642 × 575,642
  4. Step 4: Simplify right side
    262,944x = 331,363,712,164
  5. Step 5: Solve for x
    x = 331,363,712,164/262,944
  6. Step 6: Final answer
    x = 1,260,206.40

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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.