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Finding the Third Proportional to 600,196 and 929,045

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Solution

The third proportional to 600,196 and 929,045 is: 1,438,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,196 : 929,045 = 929,045 : x
  2. Step 2: Convert to fraction form
    600,196/929,045 = 929,045/x
  3. Step 3: Cross multiply
    600,196x = 929,045 × 929,045
  4. Step 4: Simplify right side
    600,196x = 863,124,612,025
  5. Step 5: Solve for x
    x = 863,124,612,025/600,196
  6. Step 6: Final answer
    x = 1,438,071.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.