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Finding the Third Proportional to 537,738.75 and 1,170,308.25

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Solution

The third proportional to 537,738.75 and 1,170,308.25 is: 2,547,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,738.75 : 1,170,308.25 = 1,170,308.25 : x
  2. Step 2: Convert to fraction form
    537,738.75/1,170,308.25 = 1,170,308.25/x
  3. Step 3: Cross multiply
    537,738.75x = 1,170,308.25 × 1,170,308.25
  4. Step 4: Simplify right side
    537,738.75x = 1,369,621,400,018.06
  5. Step 5: Solve for x
    x = 1,369,621,400,018.06/537,738.75
  6. Step 6: Final answer
    x = 2,547,001.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.