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Finding the Third Proportional to 563,521 and 825,052

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Solution

The third proportional to 563,521 and 825,052 is: 1,207,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,521 : 825,052 = 825,052 : x
  2. Step 2: Convert to fraction form
    563,521/825,052 = 825,052/x
  3. Step 3: Cross multiply
    563,521x = 825,052 × 825,052
  4. Step 4: Simplify right side
    563,521x = 680,710,802,704
  5. Step 5: Solve for x
    x = 680,710,802,704/563,521
  6. Step 6: Final answer
    x = 1,207,959.96

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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.