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Finding the Third Proportional to 563,882 and 824,655

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Solution

The third proportional to 563,882 and 824,655 is: 1,206,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,882 : 824,655 = 824,655 : x
  2. Step 2: Convert to fraction form
    563,882/824,655 = 824,655/x
  3. Step 3: Cross multiply
    563,882x = 824,655 × 824,655
  4. Step 4: Simplify right side
    563,882x = 680,055,869,025
  5. Step 5: Solve for x
    x = 680,055,869,025/563,882
  6. Step 6: Final answer
    x = 1,206,025.14

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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.