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Finding the Third Proportional to 442,011 and 679,796.50

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Solution

The third proportional to 442,011 and 679,796.50 is: 1,045,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,011 : 679,796.50 = 679,796.50 : x
  2. Step 2: Convert to fraction form
    442,011/679,796.50 = 679,796.50/x
  3. Step 3: Cross multiply
    442,011x = 679,796.50 × 679,796.50
  4. Step 4: Simplify right side
    442,011x = 462,123,281,412.25
  5. Step 5: Solve for x
    x = 462,123,281,412.25/442,011
  6. Step 6: Final answer
    x = 1,045,501.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.