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Finding the Third Proportional to 333,130 and 474,779

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Solution

The third proportional to 333,130 and 474,779 is: 676,658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,130 : 474,779 = 474,779 : x
  2. Step 2: Convert to fraction form
    333,130/474,779 = 474,779/x
  3. Step 3: Cross multiply
    333,130x = 474,779 × 474,779
  4. Step 4: Simplify right side
    333,130x = 225,415,098,841
  5. Step 5: Solve for x
    x = 225,415,098,841/333,130
  6. Step 6: Final answer
    x = 676,658.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.