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Finding the Third Proportional to 360,654 and 783,516

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Solution

The third proportional to 360,654 and 783,516 is: 1,702,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,654 : 783,516 = 783,516 : x
  2. Step 2: Convert to fraction form
    360,654/783,516 = 783,516/x
  3. Step 3: Cross multiply
    360,654x = 783,516 × 783,516
  4. Step 4: Simplify right side
    360,654x = 613,897,322,256
  5. Step 5: Solve for x
    x = 613,897,322,256/360,654
  6. Step 6: Final answer
    x = 1,702,178.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.