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Finding the Third Proportional to 386,567.16 and 832,121.72

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Solution

The third proportional to 386,567.16 and 832,121.72 is: 1,791,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,567.16 : 832,121.72 = 832,121.72 : x
  2. Step 2: Convert to fraction form
    386,567.16/832,121.72 = 832,121.72/x
  3. Step 3: Cross multiply
    386,567.16x = 832,121.72 × 832,121.72
  4. Step 4: Simplify right side
    386,567.16x = 692,426,554,815.45
  5. Step 5: Solve for x
    x = 692,426,554,815.45/386,567.16
  6. Step 6: Final answer
    x = 1,791,219.31

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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.