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Finding the Third Proportional to 688,621.50 and 968,014.13

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Solution

The third proportional to 688,621.50 and 968,014.13 is: 1,360,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,621.50 : 968,014.13 = 968,014.13 : x
  2. Step 2: Convert to fraction form
    688,621.50/968,014.13 = 968,014.13/x
  3. Step 3: Cross multiply
    688,621.50x = 968,014.13 × 968,014.13
  4. Step 4: Simplify right side
    688,621.50x = 937,051,346,199.52
  5. Step 5: Solve for x
    x = 937,051,346,199.52/688,621.50
  6. Step 6: Final answer
    x = 1,360,764.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.