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Finding the Third Proportional to 305,202 and 662,948

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Solution

The third proportional to 305,202 and 662,948 is: 1,440,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,202 : 662,948 = 662,948 : x
  2. Step 2: Convert to fraction form
    305,202/662,948 = 662,948/x
  3. Step 3: Cross multiply
    305,202x = 662,948 × 662,948
  4. Step 4: Simplify right side
    305,202x = 439,500,050,704
  5. Step 5: Solve for x
    x = 439,500,050,704/305,202
  6. Step 6: Final answer
    x = 1,440,030.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.