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Finding the Third Proportional to 563,348 and 1,252,632

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Solution

The third proportional to 563,348 and 1,252,632 is: 2,785,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,348 : 1,252,632 = 1,252,632 : x
  2. Step 2: Convert to fraction form
    563,348/1,252,632 = 1,252,632/x
  3. Step 3: Cross multiply
    563,348x = 1,252,632 × 1,252,632
  4. Step 4: Simplify right side
    563,348x = 1,569,086,927,424
  5. Step 5: Solve for x
    x = 1,569,086,927,424/563,348
  6. Step 6: Final answer
    x = 2,785,288.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.