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Finding the Third Proportional to 615,379 and 931,280

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Solution

The third proportional to 615,379 and 931,280 is: 1,409,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,379 : 931,280 = 931,280 : x
  2. Step 2: Convert to fraction form
    615,379/931,280 = 931,280/x
  3. Step 3: Cross multiply
    615,379x = 931,280 × 931,280
  4. Step 4: Simplify right side
    615,379x = 867,282,438,400
  5. Step 5: Solve for x
    x = 867,282,438,400/615,379
  6. Step 6: Final answer
    x = 1,409,346.82

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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.