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Finding the Third Proportional to 459,044 and 701,778

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Solution

The third proportional to 459,044 and 701,778 is: 1,072,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,044 : 701,778 = 701,778 : x
  2. Step 2: Convert to fraction form
    459,044/701,778 = 701,778/x
  3. Step 3: Cross multiply
    459,044x = 701,778 × 701,778
  4. Step 4: Simplify right side
    459,044x = 492,492,361,284
  5. Step 5: Solve for x
    x = 492,492,361,284/459,044
  6. Step 6: Final answer
    x = 1,072,865.26

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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.