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Finding the Third Proportional to 530,952 and 822,108

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Solution

The third proportional to 530,952 and 822,108 is: 1,272,924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,952 : 822,108 = 822,108 : x
  2. Step 2: Convert to fraction form
    530,952/822,108 = 822,108/x
  3. Step 3: Cross multiply
    530,952x = 822,108 × 822,108
  4. Step 4: Simplify right side
    530,952x = 675,861,563,664
  5. Step 5: Solve for x
    x = 675,861,563,664/530,952
  6. Step 6: Final answer
    x = 1,272,924.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.