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Finding the Third Proportional to 317,176 and 458,264

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Solution

The third proportional to 317,176 and 458,264 is: 662,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,176 : 458,264 = 458,264 : x
  2. Step 2: Convert to fraction form
    317,176/458,264 = 458,264/x
  3. Step 3: Cross multiply
    317,176x = 458,264 × 458,264
  4. Step 4: Simplify right side
    317,176x = 210,005,893,696
  5. Step 5: Solve for x
    x = 210,005,893,696/317,176
  6. Step 6: Final answer
    x = 662,111.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.