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Finding the Third Proportional to 459,038 and 701,769

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Solution

The third proportional to 459,038 and 701,769 is: 1,072,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,038 : 701,769 = 701,769 : x
  2. Step 2: Convert to fraction form
    459,038/701,769 = 701,769/x
  3. Step 3: Cross multiply
    459,038x = 701,769 × 701,769
  4. Step 4: Simplify right side
    459,038x = 492,479,729,361
  5. Step 5: Solve for x
    x = 492,479,729,361/459,038
  6. Step 6: Final answer
    x = 1,072,851.77

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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.