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Finding the Third Proportional to 250,538.06 and 556,966.13

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Solution

The third proportional to 250,538.06 and 556,966.13 is: 1,238,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,538.06 : 556,966.13 = 556,966.13 : x
  2. Step 2: Convert to fraction form
    250,538.06/556,966.13 = 556,966.13/x
  3. Step 3: Cross multiply
    250,538.06x = 556,966.13 × 556,966.13
  4. Step 4: Simplify right side
    250,538.06x = 310,211,264,397.52
  5. Step 5: Solve for x
    x = 310,211,264,397.52/250,538.06
  6. Step 6: Final answer
    x = 1,238,180.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.