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Finding the Third Proportional to 295,838 and 646,972

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Solution

The third proportional to 295,838 and 646,972 is: 1,414,871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,838 : 646,972 = 646,972 : x
  2. Step 2: Convert to fraction form
    295,838/646,972 = 646,972/x
  3. Step 3: Cross multiply
    295,838x = 646,972 × 646,972
  4. Step 4: Simplify right side
    295,838x = 418,572,768,784
  5. Step 5: Solve for x
    x = 418,572,768,784/295,838
  6. Step 6: Final answer
    x = 1,414,871.55

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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.