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Finding the Third Proportional to 340,480 and 690,688

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Solution

The third proportional to 340,480 and 690,688 is: 1,401,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,480 : 690,688 = 690,688 : x
  2. Step 2: Convert to fraction form
    340,480/690,688 = 690,688/x
  3. Step 3: Cross multiply
    340,480x = 690,688 × 690,688
  4. Step 4: Simplify right side
    340,480x = 477,049,913,344
  5. Step 5: Solve for x
    x = 477,049,913,344/340,480
  6. Step 6: Final answer
    x = 1,401,109.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.