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Finding the Third Proportional to 614,565.25 and 964,071.38

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Solution

The third proportional to 614,565.25 and 964,071.38 is: 1,512,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,565.25 : 964,071.38 = 964,071.38 : x
  2. Step 2: Convert to fraction form
    614,565.25/964,071.38 = 964,071.38/x
  3. Step 3: Cross multiply
    614,565.25x = 964,071.38 × 964,071.38
  4. Step 4: Simplify right side
    614,565.25x = 929,433,616,094.39
  5. Step 5: Solve for x
    x = 929,433,616,094.39/614,565.25
  6. Step 6: Final answer
    x = 1,512,343.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.