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Finding the Third Proportional to 583,574 and 834,501

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Solution

The third proportional to 583,574 and 834,501 is: 1,193,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,574 : 834,501 = 834,501 : x
  2. Step 2: Convert to fraction form
    583,574/834,501 = 834,501/x
  3. Step 3: Cross multiply
    583,574x = 834,501 × 834,501
  4. Step 4: Simplify right side
    583,574x = 696,391,919,001
  5. Step 5: Solve for x
    x = 696,391,919,001/583,574
  6. Step 6: Final answer
    x = 1,193,322.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.