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Finding the Third Proportional to 262,342.13 and 556,210.97

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Solution

The third proportional to 262,342.13 and 556,210.97 is: 1,179,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,342.13 : 556,210.97 = 556,210.97 : x
  2. Step 2: Convert to fraction form
    262,342.13/556,210.97 = 556,210.97/x
  3. Step 3: Cross multiply
    262,342.13x = 556,210.97 × 556,210.97
  4. Step 4: Simplify right side
    262,342.13x = 309,370,641,757.81
  5. Step 5: Solve for x
    x = 309,370,641,757.81/262,342.13
  6. Step 6: Final answer
    x = 1,179,264.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.