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Finding the Third Proportional to 358,762 and 761,256

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Solution

The third proportional to 358,762 and 761,256 is: 1,615,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,762 : 761,256 = 761,256 : x
  2. Step 2: Convert to fraction form
    358,762/761,256 = 761,256/x
  3. Step 3: Cross multiply
    358,762x = 761,256 × 761,256
  4. Step 4: Simplify right side
    358,762x = 579,510,697,536
  5. Step 5: Solve for x
    x = 579,510,697,536/358,762
  6. Step 6: Final answer
    x = 1,615,306.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.