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Finding the Third Proportional to 760,276.13 and 1,138,149.56

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Solution

The third proportional to 760,276.13 and 1,138,149.56 is: 1,703,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,276.13 : 1,138,149.56 = 1,138,149.56 : x
  2. Step 2: Convert to fraction form
    760,276.13/1,138,149.56 = 1,138,149.56/x
  3. Step 3: Cross multiply
    760,276.13x = 1,138,149.56 × 1,138,149.56
  4. Step 4: Simplify right side
    760,276.13x = 1,295,384,426,618.94
  5. Step 5: Solve for x
    x = 1,295,384,426,618.94/760,276.13
  6. Step 6: Final answer
    x = 1,703,834.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.