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Finding the Third Proportional to 295,106 and 432,872

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Solution

The third proportional to 295,106 and 432,872 is: 634,952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,106 : 432,872 = 432,872 : x
  2. Step 2: Convert to fraction form
    295,106/432,872 = 432,872/x
  3. Step 3: Cross multiply
    295,106x = 432,872 × 432,872
  4. Step 4: Simplify right side
    295,106x = 187,378,168,384
  5. Step 5: Solve for x
    x = 187,378,168,384/295,106
  6. Step 6: Final answer
    x = 634,952.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.