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Finding the Third Proportional to 480,732 and 696,312

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Solution

The third proportional to 480,732 and 696,312 is: 1,008,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,732 : 696,312 = 696,312 : x
  2. Step 2: Convert to fraction form
    480,732/696,312 = 696,312/x
  3. Step 3: Cross multiply
    480,732x = 696,312 × 696,312
  4. Step 4: Simplify right side
    480,732x = 484,850,401,344
  5. Step 5: Solve for x
    x = 484,850,401,344/480,732
  6. Step 6: Final answer
    x = 1,008,566.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.