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Finding the Third Proportional to 295,116.75 and 432,987.19

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Solution

The third proportional to 295,116.75 and 432,987.19 is: 635,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,116.75 : 432,987.19 = 432,987.19 : x
  2. Step 2: Convert to fraction form
    295,116.75/432,987.19 = 432,987.19/x
  3. Step 3: Cross multiply
    295,116.75x = 432,987.19 × 432,987.19
  4. Step 4: Simplify right side
    295,116.75x = 187,477,904,539.16
  5. Step 5: Solve for x
    x = 187,477,904,539.16/295,116.75
  6. Step 6: Final answer
    x = 635,266.91

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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.