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Finding the Third Proportional to 351,165 and 828,637.50

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Solution

The third proportional to 351,165 and 828,637.50 is: 1,955,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,165 : 828,637.50 = 828,637.50 : x
  2. Step 2: Convert to fraction form
    351,165/828,637.50 = 828,637.50/x
  3. Step 3: Cross multiply
    351,165x = 828,637.50 × 828,637.50
  4. Step 4: Simplify right side
    351,165x = 686,640,106,406.25
  5. Step 5: Solve for x
    x = 686,640,106,406.25/351,165
  6. Step 6: Final answer
    x = 1,955,320.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.