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Finding the Third Proportional to 361,913.06 and 714,743.16

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Solution

The third proportional to 361,913.06 and 714,743.16 is: 1,411,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,913.06 : 714,743.16 = 714,743.16 : x
  2. Step 2: Convert to fraction form
    361,913.06/714,743.16 = 714,743.16/x
  3. Step 3: Cross multiply
    361,913.06x = 714,743.16 × 714,743.16
  4. Step 4: Simplify right side
    361,913.06x = 510,857,779,406.21
  5. Step 5: Solve for x
    x = 510,857,779,406.21/361,913.06
  6. Step 6: Final answer
    x = 1,411,548.33

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.