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Finding the Third Proportional to 715,506.75 and 968,284.13

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Solution

The third proportional to 715,506.75 and 968,284.13 is: 1,310,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,506.75 : 968,284.13 = 968,284.13 : x
  2. Step 2: Convert to fraction form
    715,506.75/968,284.13 = 968,284.13/x
  3. Step 3: Cross multiply
    715,506.75x = 968,284.13 × 968,284.13
  4. Step 4: Simplify right side
    715,506.75x = 937,574,146,727.02
  5. Step 5: Solve for x
    x = 937,574,146,727.02/715,506.75
  6. Step 6: Final answer
    x = 1,310,363.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.