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Finding the Third Proportional to 553,381 and 846,130

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Solution

The third proportional to 553,381 and 846,130 is: 1,293,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,381 : 846,130 = 846,130 : x
  2. Step 2: Convert to fraction form
    553,381/846,130 = 846,130/x
  3. Step 3: Cross multiply
    553,381x = 846,130 × 846,130
  4. Step 4: Simplify right side
    553,381x = 715,935,976,900
  5. Step 5: Solve for x
    x = 715,935,976,900/553,381
  6. Step 6: Final answer
    x = 1,293,748.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.