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Finding the Third Proportional to 386,424 and 615,271.50

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Solution

The third proportional to 386,424 and 615,271.50 is: 979,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,424 : 615,271.50 = 615,271.50 : x
  2. Step 2: Convert to fraction form
    386,424/615,271.50 = 615,271.50/x
  3. Step 3: Cross multiply
    386,424x = 615,271.50 × 615,271.50
  4. Step 4: Simplify right side
    386,424x = 378,559,018,712.25
  5. Step 5: Solve for x
    x = 378,559,018,712.25/386,424
  6. Step 6: Final answer
    x = 979,646.76

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.