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Finding the Third Proportional to 636,875 and 929,057

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Solution

The third proportional to 636,875 and 929,057 is: 1,355,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,875 : 929,057 = 929,057 : x
  2. Step 2: Convert to fraction form
    636,875/929,057 = 929,057/x
  3. Step 3: Cross multiply
    636,875x = 929,057 × 929,057
  4. Step 4: Simplify right side
    636,875x = 863,146,909,249
  5. Step 5: Solve for x
    x = 863,146,909,249/636,875
  6. Step 6: Final answer
    x = 1,355,284.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.