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Finding the Third Proportional to 585,522 and 873,426

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Solution

The third proportional to 585,522 and 873,426 is: 1,302,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,522 : 873,426 = 873,426 : x
  2. Step 2: Convert to fraction form
    585,522/873,426 = 873,426/x
  3. Step 3: Cross multiply
    585,522x = 873,426 × 873,426
  4. Step 4: Simplify right side
    585,522x = 762,872,977,476
  5. Step 5: Solve for x
    x = 762,872,977,476/585,522
  6. Step 6: Final answer
    x = 1,302,893.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.