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Finding the Third Proportional to 629,085 and 1,346,332.50

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Solution

The third proportional to 629,085 and 1,346,332.50 is: 2,881,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,085 : 1,346,332.50 = 1,346,332.50 : x
  2. Step 2: Convert to fraction form
    629,085/1,346,332.50 = 1,346,332.50/x
  3. Step 3: Cross multiply
    629,085x = 1,346,332.50 × 1,346,332.50
  4. Step 4: Simplify right side
    629,085x = 1,812,611,200,556.25
  5. Step 5: Solve for x
    x = 1,812,611,200,556.25/629,085
  6. Step 6: Final answer
    x = 2,881,345.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.