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Finding the Third Proportional to 237,547.69 and 516,921.75

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Solution

The third proportional to 237,547.69 and 516,921.75 is: 1,124,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,547.69 : 516,921.75 = 516,921.75 : x
  2. Step 2: Convert to fraction form
    237,547.69/516,921.75 = 516,921.75/x
  3. Step 3: Cross multiply
    237,547.69x = 516,921.75 × 516,921.75
  4. Step 4: Simplify right side
    237,547.69x = 267,208,095,623.06
  5. Step 5: Solve for x
    x = 267,208,095,623.06/237,547.69
  6. Step 6: Final answer
    x = 1,124,860.86

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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.