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Finding the Third Proportional to 353,014 and 532,840

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Solution

The third proportional to 353,014 and 532,840 is: 804,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,014 : 532,840 = 532,840 : x
  2. Step 2: Convert to fraction form
    353,014/532,840 = 532,840/x
  3. Step 3: Cross multiply
    353,014x = 532,840 × 532,840
  4. Step 4: Simplify right side
    353,014x = 283,918,465,600
  5. Step 5: Solve for x
    x = 283,918,465,600/353,014
  6. Step 6: Final answer
    x = 804,269.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.