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Finding the Third Proportional to 475,264 and 668,688

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Solution

The third proportional to 475,264 and 668,688 is: 940,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,264 : 668,688 = 668,688 : x
  2. Step 2: Convert to fraction form
    475,264/668,688 = 668,688/x
  3. Step 3: Cross multiply
    475,264x = 668,688 × 668,688
  4. Step 4: Simplify right side
    475,264x = 447,143,641,344
  5. Step 5: Solve for x
    x = 447,143,641,344/475,264
  6. Step 6: Final answer
    x = 940,832.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.