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Finding the Third Proportional to 348,966 and 553,473

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Solution

The third proportional to 348,966 and 553,473 is: 877,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,966 : 553,473 = 553,473 : x
  2. Step 2: Convert to fraction form
    348,966/553,473 = 553,473/x
  3. Step 3: Cross multiply
    348,966x = 553,473 × 553,473
  4. Step 4: Simplify right side
    348,966x = 306,332,361,729
  5. Step 5: Solve for x
    x = 306,332,361,729/348,966
  6. Step 6: Final answer
    x = 877,828.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.