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Finding the Third Proportional to 283,020 and 424,488

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Solution

The third proportional to 283,020 and 424,488 is: 636,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,020 : 424,488 = 424,488 : x
  2. Step 2: Convert to fraction form
    283,020/424,488 = 424,488/x
  3. Step 3: Cross multiply
    283,020x = 424,488 × 424,488
  4. Step 4: Simplify right side
    283,020x = 180,190,062,144
  5. Step 5: Solve for x
    x = 180,190,062,144/283,020
  6. Step 6: Final answer
    x = 636,669.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.