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Finding the Third Proportional to 202,430 and 432,888

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Solution

The third proportional to 202,430 and 432,888 is: 925,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,430 : 432,888 = 432,888 : x
  2. Step 2: Convert to fraction form
    202,430/432,888 = 432,888/x
  3. Step 3: Cross multiply
    202,430x = 432,888 × 432,888
  4. Step 4: Simplify right side
    202,430x = 187,392,020,544
  5. Step 5: Solve for x
    x = 187,392,020,544/202,430
  6. Step 6: Final answer
    x = 925,712.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.