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Finding the Third Proportional to 303,580 and 469,060

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Solution

The third proportional to 303,580 and 469,060 is: 724,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,580 : 469,060 = 469,060 : x
  2. Step 2: Convert to fraction form
    303,580/469,060 = 469,060/x
  3. Step 3: Cross multiply
    303,580x = 469,060 × 469,060
  4. Step 4: Simplify right side
    303,580x = 220,017,283,600
  5. Step 5: Solve for x
    x = 220,017,283,600/303,580
  6. Step 6: Final answer
    x = 724,742.35

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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.