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Finding the Third Proportional to 424,240 and 594,648

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Solution

The third proportional to 424,240 and 594,648 is: 833,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,240 : 594,648 = 594,648 : x
  2. Step 2: Convert to fraction form
    424,240/594,648 = 594,648/x
  3. Step 3: Cross multiply
    424,240x = 594,648 × 594,648
  4. Step 4: Simplify right side
    424,240x = 353,606,243,904
  5. Step 5: Solve for x
    x = 353,606,243,904/424,240
  6. Step 6: Final answer
    x = 833,505.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.