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Finding the Third Proportional to 424,246 and 594,657

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Solution

The third proportional to 424,246 and 594,657 is: 833,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,246 : 594,657 = 594,657 : x
  2. Step 2: Convert to fraction form
    424,246/594,657 = 594,657/x
  3. Step 3: Cross multiply
    424,246x = 594,657 × 594,657
  4. Step 4: Simplify right side
    424,246x = 353,616,947,649
  5. Step 5: Solve for x
    x = 353,616,947,649/424,246
  6. Step 6: Final answer
    x = 833,518.64

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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.