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Finding the Third Proportional to 615,357 and 931,252.50

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Solution

The third proportional to 615,357 and 931,252.50 is: 1,409,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,357 : 931,252.50 = 931,252.50 : x
  2. Step 2: Convert to fraction form
    615,357/931,252.50 = 931,252.50/x
  3. Step 3: Cross multiply
    615,357x = 931,252.50 × 931,252.50
  4. Step 4: Simplify right side
    615,357x = 867,231,218,756.25
  5. Step 5: Solve for x
    x = 867,231,218,756.25/615,357
  6. Step 6: Final answer
    x = 1,409,313.97

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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.