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Finding the Third Proportional to 348,051 and 553,822

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Solution

The third proportional to 348,051 and 553,822 is: 881,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,051 : 553,822 = 553,822 : x
  2. Step 2: Convert to fraction form
    348,051/553,822 = 553,822/x
  3. Step 3: Cross multiply
    348,051x = 553,822 × 553,822
  4. Step 4: Simplify right side
    348,051x = 306,718,807,684
  5. Step 5: Solve for x
    x = 306,718,807,684/348,051
  6. Step 6: Final answer
    x = 881,246.74

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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.