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Finding the Third Proportional to 562,076 and 822,078

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Solution

The third proportional to 562,076 and 822,078 is: 1,202,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,076 : 822,078 = 822,078 : x
  2. Step 2: Convert to fraction form
    562,076/822,078 = 822,078/x
  3. Step 3: Cross multiply
    562,076x = 822,078 × 822,078
  4. Step 4: Simplify right side
    562,076x = 675,812,238,084
  5. Step 5: Solve for x
    x = 675,812,238,084/562,076
  6. Step 6: Final answer
    x = 1,202,350.28

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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.