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Finding the Third Proportional to 596,113 and 901,873.50

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Solution

The third proportional to 596,113 and 901,873.50 is: 1,364,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,113 : 901,873.50 = 901,873.50 : x
  2. Step 2: Convert to fraction form
    596,113/901,873.50 = 901,873.50/x
  3. Step 3: Cross multiply
    596,113x = 901,873.50 × 901,873.50
  4. Step 4: Simplify right side
    596,113x = 813,375,810,002.25
  5. Step 5: Solve for x
    x = 813,375,810,002.25/596,113
  6. Step 6: Final answer
    x = 1,364,465.81

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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.