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Finding the Third Proportional to 638,054 and 929,385

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Solution

The third proportional to 638,054 and 929,385 is: 1,353,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,054 : 929,385 = 929,385 : x
  2. Step 2: Convert to fraction form
    638,054/929,385 = 929,385/x
  3. Step 3: Cross multiply
    638,054x = 929,385 × 929,385
  4. Step 4: Simplify right side
    638,054x = 863,756,478,225
  5. Step 5: Solve for x
    x = 863,756,478,225/638,054
  6. Step 6: Final answer
    x = 1,353,735.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.