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Finding the Third Proportional to 295,654 and 455,063

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Solution

The third proportional to 295,654 and 455,063 is: 700,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,654 : 455,063 = 455,063 : x
  2. Step 2: Convert to fraction form
    295,654/455,063 = 455,063/x
  3. Step 3: Cross multiply
    295,654x = 455,063 × 455,063
  4. Step 4: Simplify right side
    295,654x = 207,082,333,969
  5. Step 5: Solve for x
    x = 207,082,333,969/295,654
  6. Step 6: Final answer
    x = 700,421.22

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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.