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Finding the Third Proportional to 295,070 and 432,922

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Solution

The third proportional to 295,070 and 432,922 is: 635,176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,070 : 432,922 = 432,922 : x
  2. Step 2: Convert to fraction form
    295,070/432,922 = 432,922/x
  3. Step 3: Cross multiply
    295,070x = 432,922 × 432,922
  4. Step 4: Simplify right side
    295,070x = 187,421,458,084
  5. Step 5: Solve for x
    x = 187,421,458,084/295,070
  6. Step 6: Final answer
    x = 635,176.26

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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.