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Finding the Third Proportional to 585,380 and 875,574

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Solution

The third proportional to 585,380 and 875,574 is: 1,309,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,380 : 875,574 = 875,574 : x
  2. Step 2: Convert to fraction form
    585,380/875,574 = 875,574/x
  3. Step 3: Cross multiply
    585,380x = 875,574 × 875,574
  4. Step 4: Simplify right side
    585,380x = 766,629,829,476
  5. Step 5: Solve for x
    x = 766,629,829,476/585,380
  6. Step 6: Final answer
    x = 1,309,627.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.