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Finding the Third Proportional to 583,612 and 875,414

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Solution

The third proportional to 583,612 and 875,414 is: 1,313,115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,612 : 875,414 = 875,414 : x
  2. Step 2: Convert to fraction form
    583,612/875,414 = 875,414/x
  3. Step 3: Cross multiply
    583,612x = 875,414 × 875,414
  4. Step 4: Simplify right side
    583,612x = 766,349,671,396
  5. Step 5: Solve for x
    x = 766,349,671,396/583,612
  6. Step 6: Final answer
    x = 1,313,115.00

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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.