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Finding the Third Proportional to 582,176 and 875,426

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Solution

The third proportional to 582,176 and 875,426 is: 1,316,390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,176 : 875,426 = 875,426 : x
  2. Step 2: Convert to fraction form
    582,176/875,426 = 875,426/x
  3. Step 3: Cross multiply
    582,176x = 875,426 × 875,426
  4. Step 4: Simplify right side
    582,176x = 766,370,681,476
  5. Step 5: Solve for x
    x = 766,370,681,476/582,176
  6. Step 6: Final answer
    x = 1,316,390.03

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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.