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Finding the Third Proportional to 469,068 and 727,260

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Solution

The third proportional to 469,068 and 727,260 is: 1,127,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,068 : 727,260 = 727,260 : x
  2. Step 2: Convert to fraction form
    469,068/727,260 = 727,260/x
  3. Step 3: Cross multiply
    469,068x = 727,260 × 727,260
  4. Step 4: Simplify right side
    469,068x = 528,907,107,600
  5. Step 5: Solve for x
    x = 528,907,107,600/469,068
  6. Step 6: Final answer
    x = 1,127,570.22

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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.