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Finding the Third Proportional to 219,750 and 473,628

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Solution

The third proportional to 219,750 and 473,628 is: 1,020,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,750 : 473,628 = 473,628 : x
  2. Step 2: Convert to fraction form
    219,750/473,628 = 473,628/x
  3. Step 3: Cross multiply
    219,750x = 473,628 × 473,628
  4. Step 4: Simplify right side
    219,750x = 224,323,482,384
  5. Step 5: Solve for x
    x = 224,323,482,384/219,750
  6. Step 6: Final answer
    x = 1,020,812.21

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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.