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Finding the Third Proportional to 688,631.63 and 968,032.69

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Solution

The third proportional to 688,631.63 and 968,032.69 is: 1,360,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,631.63 : 968,032.69 = 968,032.69 : x
  2. Step 2: Convert to fraction form
    688,631.63/968,032.69 = 968,032.69/x
  3. Step 3: Cross multiply
    688,631.63x = 968,032.69 × 968,032.69
  4. Step 4: Simplify right side
    688,631.63x = 937,087,284,068.47
  5. Step 5: Solve for x
    x = 937,087,284,068.47/688,631.63
  6. Step 6: Final answer
    x = 1,360,796.18

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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.