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Finding the Third Proportional to 563,299 and 849,738

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Solution

The third proportional to 563,299 and 849,738 is: 1,281,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,299 : 849,738 = 849,738 : x
  2. Step 2: Convert to fraction form
    563,299/849,738 = 849,738/x
  3. Step 3: Cross multiply
    563,299x = 849,738 × 849,738
  4. Step 4: Simplify right side
    563,299x = 722,054,668,644
  5. Step 5: Solve for x
    x = 722,054,668,644/563,299
  6. Step 6: Final answer
    x = 1,281,831.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.