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Finding the Third Proportional to 268,453 and 375,513

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Solution

The third proportional to 268,453 and 375,513 is: 525,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,453 : 375,513 = 375,513 : x
  2. Step 2: Convert to fraction form
    268,453/375,513 = 375,513/x
  3. Step 3: Cross multiply
    268,453x = 375,513 × 375,513
  4. Step 4: Simplify right side
    268,453x = 141,010,013,169
  5. Step 5: Solve for x
    x = 141,010,013,169/268,453
  6. Step 6: Final answer
    x = 525,268.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.