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Finding the Third Proportional to 490,112 and 749,585

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Solution

The third proportional to 490,112 and 749,585 is: 1,146,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,112 : 749,585 = 749,585 : x
  2. Step 2: Convert to fraction form
    490,112/749,585 = 749,585/x
  3. Step 3: Cross multiply
    490,112x = 749,585 × 749,585
  4. Step 4: Simplify right side
    490,112x = 561,877,672,225
  5. Step 5: Solve for x
    x = 561,877,672,225/490,112
  6. Step 6: Final answer
    x = 1,146,427.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.