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Finding the Third Proportional to 563,852 and 824,610

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Solution

The third proportional to 563,852 and 824,610 is: 1,205,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,852 : 824,610 = 824,610 : x
  2. Step 2: Convert to fraction form
    563,852/824,610 = 824,610/x
  3. Step 3: Cross multiply
    563,852x = 824,610 × 824,610
  4. Step 4: Simplify right side
    563,852x = 679,981,652,100
  5. Step 5: Solve for x
    x = 679,981,652,100/563,852
  6. Step 6: Final answer
    x = 1,205,957.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.