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Finding the Third Proportional to 311,501 and 473,409

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Solution

The third proportional to 311,501 and 473,409 is: 719,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,501 : 473,409 = 473,409 : x
  2. Step 2: Convert to fraction form
    311,501/473,409 = 473,409/x
  3. Step 3: Cross multiply
    311,501x = 473,409 × 473,409
  4. Step 4: Simplify right side
    311,501x = 224,116,081,281
  5. Step 5: Solve for x
    x = 224,116,081,281/311,501
  6. Step 6: Final answer
    x = 719,471.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.