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Finding the Third Proportional to 348,063 and 553,841

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Solution

The third proportional to 348,063 and 553,841 is: 881,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,063 : 553,841 = 553,841 : x
  2. Step 2: Convert to fraction form
    348,063/553,841 = 553,841/x
  3. Step 3: Cross multiply
    348,063x = 553,841 × 553,841
  4. Step 4: Simplify right side
    348,063x = 306,739,853,281
  5. Step 5: Solve for x
    x = 306,739,853,281/348,063
  6. Step 6: Final answer
    x = 881,276.82

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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.