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Finding the Third Proportional to 237,855 and 499,065

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Solution

The third proportional to 237,855 and 499,065 is: 1,047,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,855 : 499,065 = 499,065 : x
  2. Step 2: Convert to fraction form
    237,855/499,065 = 499,065/x
  3. Step 3: Cross multiply
    237,855x = 499,065 × 499,065
  4. Step 4: Simplify right side
    237,855x = 249,065,874,225
  5. Step 5: Solve for x
    x = 249,065,874,225/237,855
  6. Step 6: Final answer
    x = 1,047,133.23

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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.