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Finding the Third Proportional to 295,946 and 647,254

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Solution

The third proportional to 295,946 and 647,254 is: 1,415,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,946 : 647,254 = 647,254 : x
  2. Step 2: Convert to fraction form
    295,946/647,254 = 647,254/x
  3. Step 3: Cross multiply
    295,946x = 647,254 × 647,254
  4. Step 4: Simplify right side
    295,946x = 418,937,740,516
  5. Step 5: Solve for x
    x = 418,937,740,516/295,946
  6. Step 6: Final answer
    x = 1,415,588.45

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Why These Related Problems?

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