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Finding the Third Proportional to 264,830 and 578,834

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Solution

The third proportional to 264,830 and 578,834 is: 1,265,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,830 : 578,834 = 578,834 : x
  2. Step 2: Convert to fraction form
    264,830/578,834 = 578,834/x
  3. Step 3: Cross multiply
    264,830x = 578,834 × 578,834
  4. Step 4: Simplify right side
    264,830x = 335,048,799,556
  5. Step 5: Solve for x
    x = 335,048,799,556/264,830
  6. Step 6: Final answer
    x = 1,265,146.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.