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Finding the Third Proportional to 524,826 and 822,312

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Solution

The third proportional to 524,826 and 822,312 is: 1,288,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,826 : 822,312 = 822,312 : x
  2. Step 2: Convert to fraction form
    524,826/822,312 = 822,312/x
  3. Step 3: Cross multiply
    524,826x = 822,312 × 822,312
  4. Step 4: Simplify right side
    524,826x = 676,197,025,344
  5. Step 5: Solve for x
    x = 676,197,025,344/524,826
  6. Step 6: Final answer
    x = 1,288,421.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.