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Finding the Third Proportional to 583,854 and 879,956.50

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Solution

The third proportional to 583,854 and 879,956.50 is: 1,326,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,854 : 879,956.50 = 879,956.50 : x
  2. Step 2: Convert to fraction form
    583,854/879,956.50 = 879,956.50/x
  3. Step 3: Cross multiply
    583,854x = 879,956.50 × 879,956.50
  4. Step 4: Simplify right side
    583,854x = 774,323,441,892.25
  5. Step 5: Solve for x
    x = 774,323,441,892.25/583,854
  6. Step 6: Final answer
    x = 1,326,227.86

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