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Finding the Third Proportional to 430,568.63 and 926,952

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Solution

The third proportional to 430,568.63 and 926,952 is: 1,995,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,568.63 : 926,952 = 926,952 : x
  2. Step 2: Convert to fraction form
    430,568.63/926,952 = 926,952/x
  3. Step 3: Cross multiply
    430,568.63x = 926,952 × 926,952
  4. Step 4: Simplify right side
    430,568.63x = 859,240,010,304
  5. Step 5: Solve for x
    x = 859,240,010,304/430,568.63
  6. Step 6: Final answer
    x = 1,995,593.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.