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Finding the Third Proportional to 583,716 and 838,710

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Solution

The third proportional to 583,716 and 838,710 is: 1,205,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,716 : 838,710 = 838,710 : x
  2. Step 2: Convert to fraction form
    583,716/838,710 = 838,710/x
  3. Step 3: Cross multiply
    583,716x = 838,710 × 838,710
  4. Step 4: Simplify right side
    583,716x = 703,434,464,100
  5. Step 5: Solve for x
    x = 703,434,464,100/583,716
  6. Step 6: Final answer
    x = 1,205,097.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.