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Finding the Third Proportional to 583,852 and 879,953

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Solution

The third proportional to 583,852 and 879,953 is: 1,326,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,852 : 879,953 = 879,953 : x
  2. Step 2: Convert to fraction form
    583,852/879,953 = 879,953/x
  3. Step 3: Cross multiply
    583,852x = 879,953 × 879,953
  4. Step 4: Simplify right side
    583,852x = 774,317,282,209
  5. Step 5: Solve for x
    x = 774,317,282,209/583,852
  6. Step 6: Final answer
    x = 1,326,221.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.