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Finding the Third Proportional to 677,400 and 997,386

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Solution

The third proportional to 677,400 and 997,386 is: 1,468,525.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,400 : 997,386 = 997,386 : x
  2. Step 2: Convert to fraction form
    677,400/997,386 = 997,386/x
  3. Step 3: Cross multiply
    677,400x = 997,386 × 997,386
  4. Step 4: Simplify right side
    677,400x = 994,778,832,996
  5. Step 5: Solve for x
    x = 994,778,832,996/677,400
  6. Step 6: Final answer
    x = 1,468,525.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.