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Finding the Third Proportional to 688,452 and 967,776

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Solution

The third proportional to 688,452 and 967,776 is: 1,360,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,452 : 967,776 = 967,776 : x
  2. Step 2: Convert to fraction form
    688,452/967,776 = 967,776/x
  3. Step 3: Cross multiply
    688,452x = 967,776 × 967,776
  4. Step 4: Simplify right side
    688,452x = 936,590,386,176
  5. Step 5: Solve for x
    x = 936,590,386,176/688,452
  6. Step 6: Final answer
    x = 1,360,429.47

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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.