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Finding the Third Proportional to 552,140 and 824,910

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Solution

The third proportional to 552,140 and 824,910 is: 1,232,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,140 : 824,910 = 824,910 : x
  2. Step 2: Convert to fraction form
    552,140/824,910 = 824,910/x
  3. Step 3: Cross multiply
    552,140x = 824,910 × 824,910
  4. Step 4: Simplify right side
    552,140x = 680,476,508,100
  5. Step 5: Solve for x
    x = 680,476,508,100/552,140
  6. Step 6: Final answer
    x = 1,232,434.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.