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Finding the Third Proportional to 562,624 and 803,977

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Solution

The third proportional to 562,624 and 803,977 is: 1,148,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,624 : 803,977 = 803,977 : x
  2. Step 2: Convert to fraction form
    562,624/803,977 = 803,977/x
  3. Step 3: Cross multiply
    562,624x = 803,977 × 803,977
  4. Step 4: Simplify right side
    562,624x = 646,379,016,529
  5. Step 5: Solve for x
    x = 646,379,016,529/562,624
  6. Step 6: Final answer
    x = 1,148,864.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.