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Finding the Third Proportional to 760.68 and 1,646.66

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Solution

The third proportional to 760.68 and 1,646.66 is: 3,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.68 : 1,646.66 = 1,646.66 : x
  2. Step 2: Convert to fraction form
    760.68/1,646.66 = 1,646.66/x
  3. Step 3: Cross multiply
    760.68x = 1,646.66 × 1,646.66
  4. Step 4: Simplify right side
    760.68x = 2,711,480.02
  5. Step 5: Solve for x
    x = 2,711,480.02/760.68
  6. Step 6: Final answer
    x = 3,564.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.