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Finding the Third Proportional to 237,465 and 499,530

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Solution

The third proportional to 237,465 and 499,530 is: 1,050,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,465 : 499,530 = 499,530 : x
  2. Step 2: Convert to fraction form
    237,465/499,530 = 499,530/x
  3. Step 3: Cross multiply
    237,465x = 499,530 × 499,530
  4. Step 4: Simplify right side
    237,465x = 249,530,220,900
  5. Step 5: Solve for x
    x = 249,530,220,900/237,465
  6. Step 6: Final answer
    x = 1,050,808.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.