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Finding the Third Proportional to 295,291.13 and 455,978.25

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Solution

The third proportional to 295,291.13 and 455,978.25 is: 704,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,291.13 : 455,978.25 = 455,978.25 : x
  2. Step 2: Convert to fraction form
    295,291.13/455,978.25 = 455,978.25/x
  3. Step 3: Cross multiply
    295,291.13x = 455,978.25 × 455,978.25
  4. Step 4: Simplify right side
    295,291.13x = 207,916,164,473.06
  5. Step 5: Solve for x
    x = 207,916,164,473.06/295,291.13
  6. Step 6: Final answer
    x = 704,105.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.