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Finding the Third Proportional to 565,398 and 1,230,520

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Solution

The third proportional to 565,398 and 1,230,520 is: 2,678,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,398 : 1,230,520 = 1,230,520 : x
  2. Step 2: Convert to fraction form
    565,398/1,230,520 = 1,230,520/x
  3. Step 3: Cross multiply
    565,398x = 1,230,520 × 1,230,520
  4. Step 4: Simplify right side
    565,398x = 1,514,179,470,400
  5. Step 5: Solve for x
    x = 1,514,179,470,400/565,398
  6. Step 6: Final answer
    x = 2,678,077.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.