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Finding the Third Proportional to 346,311 and 553,229

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Solution

The third proportional to 346,311 and 553,229 is: 883,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,311 : 553,229 = 553,229 : x
  2. Step 2: Convert to fraction form
    346,311/553,229 = 553,229/x
  3. Step 3: Cross multiply
    346,311x = 553,229 × 553,229
  4. Step 4: Simplify right side
    346,311x = 306,062,326,441
  5. Step 5: Solve for x
    x = 306,062,326,441/346,311
  6. Step 6: Final answer
    x = 883,778.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.