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Finding the Third Proportional to 716,154.75 and 1,035,686.25

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Solution

The third proportional to 716,154.75 and 1,035,686.25 is: 1,497,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,154.75 : 1,035,686.25 = 1,035,686.25 : x
  2. Step 2: Convert to fraction form
    716,154.75/1,035,686.25 = 1,035,686.25/x
  3. Step 3: Cross multiply
    716,154.75x = 1,035,686.25 × 1,035,686.25
  4. Step 4: Simplify right side
    716,154.75x = 1,072,646,008,439.06
  5. Step 5: Solve for x
    x = 1,072,646,008,439.06/716,154.75
  6. Step 6: Final answer
    x = 1,497,785.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.