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Finding the Third Proportional to 432,338.77 and 615,874.01

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Solution

The third proportional to 432,338.77 and 615,874.01 is: 877,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,338.77 : 615,874.01 = 615,874.01 : x
  2. Step 2: Convert to fraction form
    432,338.77/615,874.01 = 615,874.01/x
  3. Step 3: Cross multiply
    432,338.77x = 615,874.01 × 615,874.01
  4. Step 4: Simplify right side
    432,338.77x = 379,300,793,499.03
  5. Step 5: Solve for x
    x = 379,300,793,499.03/432,338.77
  6. Step 6: Final answer
    x = 877,323.12

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.