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Finding the Third Proportional to 295,301.95 and 647,807.63

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Solution

The third proportional to 295,301.95 and 647,807.63 is: 1,421,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,301.95 : 647,807.63 = 647,807.63 : x
  2. Step 2: Convert to fraction form
    295,301.95/647,807.63 = 647,807.63/x
  3. Step 3: Cross multiply
    295,301.95x = 647,807.63 × 647,807.63
  4. Step 4: Simplify right side
    295,301.95x = 419,654,719,008.14
  5. Step 5: Solve for x
    x = 419,654,719,008.14/295,301.95
  6. Step 6: Final answer
    x = 1,421,103.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.