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Finding the Third Proportional to 237,207 and 516,530.50

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Solution

The third proportional to 237,207 and 516,530.50 is: 1,124,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,207 : 516,530.50 = 516,530.50 : x
  2. Step 2: Convert to fraction form
    237,207/516,530.50 = 516,530.50/x
  3. Step 3: Cross multiply
    237,207x = 516,530.50 × 516,530.50
  4. Step 4: Simplify right side
    237,207x = 266,803,757,430.25
  5. Step 5: Solve for x
    x = 266,803,757,430.25/237,207
  6. Step 6: Final answer
    x = 1,124,771.86

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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.