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Finding the Third Proportional to 294,924 and 645,043

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Solution

The third proportional to 294,924 and 645,043 is: 1,410,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,924 : 645,043 = 645,043 : x
  2. Step 2: Convert to fraction form
    294,924/645,043 = 645,043/x
  3. Step 3: Cross multiply
    294,924x = 645,043 × 645,043
  4. Step 4: Simplify right side
    294,924x = 416,080,471,849
  5. Step 5: Solve for x
    x = 416,080,471,849/294,924
  6. Step 6: Final answer
    x = 1,410,805.74

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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.