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Finding the Third Proportional to 272,491 and 401,047

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Solution

The third proportional to 272,491 and 401,047 is: 590,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,491 : 401,047 = 401,047 : x
  2. Step 2: Convert to fraction form
    272,491/401,047 = 401,047/x
  3. Step 3: Cross multiply
    272,491x = 401,047 × 401,047
  4. Step 4: Simplify right side
    272,491x = 160,838,696,209
  5. Step 5: Solve for x
    x = 160,838,696,209/272,491
  6. Step 6: Final answer
    x = 590,253.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.