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Finding the Third Proportional to 460,597 and 677,724

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Solution

The third proportional to 460,597 and 677,724 is: 997,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,597 : 677,724 = 677,724 : x
  2. Step 2: Convert to fraction form
    460,597/677,724 = 677,724/x
  3. Step 3: Cross multiply
    460,597x = 677,724 × 677,724
  4. Step 4: Simplify right side
    460,597x = 459,309,820,176
  5. Step 5: Solve for x
    x = 459,309,820,176/460,597
  6. Step 6: Final answer
    x = 997,205.41

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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.