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Finding the Third Proportional to 356,774 and 553,614

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Solution

The third proportional to 356,774 and 553,614 is: 859,054.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,774 : 553,614 = 553,614 : x
  2. Step 2: Convert to fraction form
    356,774/553,614 = 553,614/x
  3. Step 3: Cross multiply
    356,774x = 553,614 × 553,614
  4. Step 4: Simplify right side
    356,774x = 306,488,460,996
  5. Step 5: Solve for x
    x = 306,488,460,996/356,774
  6. Step 6: Final answer
    x = 859,054.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.