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Finding the Third Proportional to 360,127.13 and 772,742.25

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Solution

The third proportional to 360,127.13 and 772,742.25 is: 1,658,110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,127.13 : 772,742.25 = 772,742.25 : x
  2. Step 2: Convert to fraction form
    360,127.13/772,742.25 = 772,742.25/x
  3. Step 3: Cross multiply
    360,127.13x = 772,742.25 × 772,742.25
  4. Step 4: Simplify right side
    360,127.13x = 597,130,584,935.06
  5. Step 5: Solve for x
    x = 597,130,584,935.06/360,127.13
  6. Step 6: Final answer
    x = 1,658,110.55

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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.