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Finding the Third Proportional to 200,730 and 432,796

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Solution

The third proportional to 200,730 and 432,796 is: 933,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,730 : 432,796 = 432,796 : x
  2. Step 2: Convert to fraction form
    200,730/432,796 = 432,796/x
  3. Step 3: Cross multiply
    200,730x = 432,796 × 432,796
  4. Step 4: Simplify right side
    200,730x = 187,312,377,616
  5. Step 5: Solve for x
    x = 187,312,377,616/200,730
  6. Step 6: Final answer
    x = 933,155.87

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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.