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Finding the Third Proportional to 563,308 and 1,252,560

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Solution

The third proportional to 563,308 and 1,252,560 is: 2,785,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,308 : 1,252,560 = 1,252,560 : x
  2. Step 2: Convert to fraction form
    563,308/1,252,560 = 1,252,560/x
  3. Step 3: Cross multiply
    563,308x = 1,252,560 × 1,252,560
  4. Step 4: Simplify right side
    563,308x = 1,568,906,553,600
  5. Step 5: Solve for x
    x = 1,568,906,553,600/563,308
  6. Step 6: Final answer
    x = 2,785,166.47

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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.