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Finding the Third Proportional to 272,202 and 400,526

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Solution

The third proportional to 272,202 and 400,526 is: 589,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,202 : 400,526 = 400,526 : x
  2. Step 2: Convert to fraction form
    272,202/400,526 = 400,526/x
  3. Step 3: Cross multiply
    272,202x = 400,526 × 400,526
  4. Step 4: Simplify right side
    272,202x = 160,421,076,676
  5. Step 5: Solve for x
    x = 160,421,076,676/272,202
  6. Step 6: Final answer
    x = 589,345.69

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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.