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Finding the Third Proportional to 508,324 and 1,100,332

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Solution

The third proportional to 508,324 and 1,100,332 is: 2,381,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,324 : 1,100,332 = 1,100,332 : x
  2. Step 2: Convert to fraction form
    508,324/1,100,332 = 1,100,332/x
  3. Step 3: Cross multiply
    508,324x = 1,100,332 × 1,100,332
  4. Step 4: Simplify right side
    508,324x = 1,210,730,510,224
  5. Step 5: Solve for x
    x = 1,210,730,510,224/508,324
  6. Step 6: Final answer
    x = 2,381,808.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.